2457568500 has 96 divisors (see below), whose sum is σ = 7222575360. Its totient is φ = 649296000.

The previous prime is 2457568459. The next prime is 2457568517. The reversal of 2457568500 is 58657542.

2457568500 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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, 155985 + ... + 171015.

It is an arithmetic number, because the mean of its divisors is an integer number (75235160).

Almost surely, 2^2457568500 is an apocalyptic number.

2457568500 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 2457568500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3611287680).

2457568500 is an abundant number, since it is smaller than the sum of its proper divisors (4765006860).

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

2457568500 is a wasteful number, since it uses less digits than its factorization.

2457568500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15162 (or 15150 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 42.

The square root of 2457568500 is about 49573.8691247718. The cubic root of 2457568500 is about 1349.4864988052.

The spelling of 2457568500 in words is "two billion, four hundred fifty-seven million, five hundred sixty-eight thousand, five hundred".