2604963720100 has 81 divisors (see below), whose sum is σ = 6575957909283. Its totient is φ = 893091682560.

The previous prime is 2604963720097. The next prime is 2604963720109. The reversal of 2604963720100 is 10273694062.

It is a happy number.

The square root of 2604963720100 is 1613990.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 457378984804 + 2147584735296 = 676298^2 + 1465464^2 .

It is a super-2 number, since 2×2604963720100² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2604963720109) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 112967772 + ... + 112990828.

Almost surely, 2^{2604963720100} is an apocalyptic number.

2604963720100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2604963720100 is the 1613990-th square number.

It is an amenable number.

2604963720100 is an abundant number, since it is smaller than the sum of its proper divisors (3970994189183).

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

2604963720100 is an frugal number, since it uses more digits than its factorization.

2604963720100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46142 (or 23071 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The spelling of 2604963720100 in words is "two trillion, six hundred four billion, nine hundred sixty-three million, seven hundred twenty thousand, one hundred".