2506996800 has 1512 divisors, whose sum is σ = 12602809440. Its totient is φ = 464486400.

The previous prime is 2506996787. The next prime is 2506996837. The reversal of 2506996800 is 86996052.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 131947191 + ... + 131947209.

Almost surely, 2^2506996800 is an apocalyptic number.

2506996800 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 2506996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6301404720).

2506996800 is an abundant number, since it is smaller than the sum of its proper divisors (10095812640).

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

2506996800 is a wasteful number, since it uses less digits than its factorization.

2506996800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 2506996800 is about 50069.9191131761. The cubic root of 2506996800 is about 1358.4737780770.

The spelling of 2506996800 in words is "two billion, five hundred six million, nine hundred ninety-six thousand, eight hundred".