2538624000 has 352 divisors, whose sum is σ = 9227417472. Its totient is φ = 614400000.

The previous prime is 2538623993. The next prime is 2538624013. The reversal of 2538624000 is 4268352.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×2538624000² = 12889223626752000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 4223700 + ... + 4224300.

Almost surely, 2^2538624000 is an apocalyptic number.

2538624000 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 2538624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4613708736).

2538624000 is an abundant number, since it is smaller than the sum of its proper divisors (6688793472).

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

2538624000 is a wasteful number, since it uses less digits than its factorization.

2538624000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 2538624000 is about 50384.7596004982. The cubic root of 2538624000 is about 1364.1625637924.

The spelling of 2538624000 in words is "two billion, five hundred thirty-eight million, six hundred twenty-four thousand".