2057933702500 has 135 divisors (see below), whose sum is σ = 4875303479277. Its totient is φ = 759508152000.

The previous prime is 2057933702497. The next prime is 2057933702551. The reversal of 2057933702500 is 52073397502.

The square root of 2057933702500 is 1434550.

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

It can be written as a sum of positive squares in 7 ways, for example, as 2032683221284 + 25250481216 = 1425722^2 + 158904^2 .

It is a super-2 number, since 2×2057933702500² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 932456397 + ... + 932458603.

Almost surely, 2^{2057933702500} is an apocalyptic number.

2057933702500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2057933702500 is the 1434550-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2057933702500

2057933702500 is an abundant number, since it is smaller than the sum of its proper divisors (2817369776777).

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

2057933702500 is an frugal number, since it uses more digits than its factorization.

2057933702500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4464 (or 2227 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 43.

The spelling of 2057933702500 in words is "two trillion, fifty-seven billion, nine hundred thirty-three million, seven hundred two thousand, five hundred".