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2042095660 = 2251114962297
BaseRepresentation
bin111100110110111…
…1110100000101100
312021022120012121121
41321231332200230
513140234030120
6534345110324
7101414345443
oct17155764054
95238505547
102042095660
11958789770
1248ba883a4
132670c5a37
141552d5d5a
15be42a5aa
hex79b7e82c

2042095660 has 48 divisors (see below), whose sum is σ = 4709728800. Its totient is φ = 737584640.

The previous prime is 2042095637. The next prime is 2042095663. The reversal of 2042095660 is 665902402.

It is not an unprimeable number, because it can be changed into a prime (2042095663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1632 + ... + 63928.

It is an arithmetic number, because the mean of its divisors is an integer number (98119350).

Almost surely, 22042095660 is an apocalyptic number.

2042095660 is a gapful number since it is divisible by the number (20) 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 2042095660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354864400).

2042095660 is an abundant number, since it is smaller than the sum of its proper divisors (2667633140).

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

2042095660 is a wasteful number, since it uses less digits than its factorization.

2042095660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62466 (or 62464 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 2042095660 is about 45189.5525536600. The cubic root of 2042095660 is about 1268.6992820772.

The spelling of 2042095660 in words is "two billion, forty-two million, ninety-five thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 149 220 298 596 745 1490 1639 2980 3278 6556 8195 16390 32780 62297 124594 249188 311485 622970 685267 1245940 1370534 2741068 3426335 6852670 9282253 13705340 18564506 37129012 46411265 92822530 102104783 185645060 204209566 408419132 510523915 1021047830 2042095660