2612748800 has 240 divisors, whose sum is σ = 6831741312. Its totient is φ = 989184000.

The previous prime is 2612748799. The next prime is 2612748811. The reversal of 2612748800 is 88472162.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25868750 + ... + 25868850.

Almost surely, 2^2612748800 is an apocalyptic number.

2612748800 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 2612748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3415870656).

2612748800 is an abundant number, since it is smaller than the sum of its proper divisors (4218992512).

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

2612748800 is a wasteful number, since it uses less digits than its factorization.

2612748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 2612748800 is about 51115.0545338651. The cubic root of 2612748800 is about 1377.3127007767.

The spelling of 2612748800 in words is "two billion, six hundred twelve million, seven hundred forty-eight thousand, eight hundred".