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2061420624 = 24336721063
BaseRepresentation
bin111101011011110…
…1100100001010000
312022122221000111000
41322313230201100
513210210424444
6540315222000
7102040533444
oct17267544120
95278830430
102061420624
1196868890a
12496447900
1326b100b23
14157ac6824
15c0e96469
hex7adec850

2061420624 has 120 divisors (see below), whose sum is σ = 6012323520. Its totient is φ = 676247616.

The previous prime is 2061420617. The next prime is 2061420643. The reversal of 2061420624 is 4260241602.

2061420624 is a `hidden beast` number, since 2 + 0 + 6 + 14 + 20 + 624 = 666.

2061420624 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1938717 + ... + 1939779.

It is an arithmetic number, because the mean of its divisors is an integer number (50102696).

Almost surely, 22061420624 is an apocalyptic number.

2061420624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2061420624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3006161760).

2061420624 is an abundant number, since it is smaller than the sum of its proper divisors (3950902896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2061420624 is a wasteful number, since it uses less digits than its factorization.

2061420624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2061420624 is about 45402.8702176415. The cubic root of 2061420624 is about 1272.6887512373.

The spelling of 2061420624 in words is "two billion, sixty-one million, four hundred twenty thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 67 72 108 134 144 201 216 268 402 432 536 603 804 1063 1072 1206 1608 1809 2126 2412 3189 3216 3618 4252 4489 4824 6378 7236 8504 8978 9567 9648 12756 13467 14472 17008 17956 19134 25512 26934 28701 28944 35912 38268 40401 51024 53868 57402 71221 71824 76536 80802 107736 114804 121203 142442 153072 161604 213663 215472 229608 242406 284884 323208 427326 459216 484812 569768 640989 646416 854652 969624 1139536 1281978 1709304 1922967 1939248 2563956 3418608 3845934 4771807 5127912 7691868 9543614 10255824 14315421 15383736 19087228 28630842 30767472 38174456 42946263 57261684 76348912 85892526 114523368 128838789 171785052 229046736 257677578 343570104 515355156 687140208 1030710312 2061420624