2570859492100 has 81 divisors (see below), whose sum is σ = 5634246195711. Its totient is φ = 1018216785600.

The previous prime is 2570859492053. The next prime is 2570859492121. The reversal of 2570859492100 is 12949580752.

The square root of 2570859492100 is 1603390.

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 9425691396 + 2561433800704 = 97086^2 + 1600448^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1747694365 + ... + 1747695835.

Almost surely, 2^{2570859492100} is an apocalyptic number.

2570859492100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2570859492100 is the 1603390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2570859492100

2570859492100 is an abundant number, since it is smaller than the sum of its proper divisors (3063386703611).

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

2570859492100 is an equidigital number, since it uses as much as digits as its factorization.

2570859492100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3174 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 52.

The spelling of 2570859492100 in words is "two trillion, five hundred seventy billion, eight hundred fifty-nine million, four hundred ninety-two thousand, one hundred".