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2097523680 = 253571993137
BaseRepresentation
bin111110100000101…
…1010101111100000
312102011212020120020
41331001122233200
513243431224210
6544045113440
7102656441250
oct17501325740
95364766506
102097523680
11986aa764a
124a6558880
13275731995
1415c803960
15c4228770
hex7d05abe0

2097523680 has 192 divisors, whose sum is σ = 7591449600. Its totient is φ = 476872704.

The previous prime is 2097523651. The next prime is 2097523693. The reversal of 2097523680 is 863257902.

2097523680 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 (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 667072 + ... + 670208.

It is an arithmetic number, because the mean of its divisors is an integer number (39538800).

Almost surely, 22097523680 is an apocalyptic number.

2097523680 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 2097523680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3795724800).

2097523680 is an abundant number, since it is smaller than the sum of its proper divisors (5493925920).

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

2097523680 is a wasteful number, since it uses less digits than its factorization.

2097523680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3361 (or 3353 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 2097523680 is about 45798.7301133994. The cubic root of 2097523680 is about 1280.0756140227.

The spelling of 2097523680 in words is "two billion, ninety-seven million, five hundred twenty-three thousand, six hundred eighty".