2534864800 has 108 divisors (see below), whose sum is σ = 6701231250. Its totient is φ = 935900160.

The previous prime is 2534864767. The next prime is 2534864807. The reversal of 2534864800 is 84684352.

It can be written as a sum of positive squares in 9 ways, for example, as 11209104 + 2523655696 = 3348^2 + 50236^2 .

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2534864807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 125826 + ... + 144574.

Almost surely, 2^2534864800 is an apocalyptic number.

2534864800 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 2534864800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3350615625).

2534864800 is an abundant number, since it is smaller than the sum of its proper divisors (4166366450).

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

2534864800 is a wasteful number, since it uses less digits than its factorization.

2534864800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18795 (or 18769 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The square root of 2534864800 is about 50347.4408485675. The cubic root of 2534864800 is about 1363.4888795107.

The spelling of 2534864800 in words is "two billion, five hundred thirty-four million, eight hundred sixty-four thousand, eight hundred".