2507557052 has 216 divisors, whose sum is σ = 6338277792. Its totient is φ = 844462080.

The previous prime is 2507557051. The next prime is 2507557079.

2507557052 is nontrivially palindromic in base 10.

2507557052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2507556997 and 2507557015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2507557051) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12728618 + ... + 12728814.

Almost surely, 2^2507557052 is an apocalyptic number.

2507557052 is a gapful number since it is divisible by the number (22) 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 2507557052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3169138896).

2507557052 is an abundant number, since it is smaller than the sum of its proper divisors (3830720740).

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

2507557052 is a wasteful number, since it uses less digits than its factorization.

2507557052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 122500, while the sum is 38.

The square root of 2507557052 is about 50075.5134971175. The cubic root of 2507557052 is about 1358.5749656763.

The spelling of 2507557052 in words is "two billion, five hundred seven million, five hundred fifty-seven thousand, fifty-two".