2498745600 has 648 divisors, whose sum is σ = 9963862272. Its totient is φ = 593510400.

The previous prime is 2498745563. The next prime is 2498745619. The reversal of 2498745600 is 65478942.

It is a happy number.

2498745600 is a `hidden beast` number, since 2 + 4 + 9 + 87 + 4 + 560 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35193565 + ... + 35193635.

Almost surely, 2^2498745600 is an apocalyptic number.

2498745600 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 2498745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4981931136).

2498745600 is an abundant number, since it is smaller than the sum of its proper divisors (7465116672).

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

2498745600 is a wasteful number, since it uses less digits than its factorization.

2498745600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2498745600 is about 49987.4544260858. The cubic root of 2498745600 is about 1356.9817726235.

The spelling of 2498745600 in words is "two billion, four hundred ninety-eight million, seven hundred forty-five thousand, six hundred".