2534968800 has 864 divisors, whose sum is σ = 11362897728. Its totient is φ = 517570560.

The previous prime is 2534968789. The next prime is 2534968811. The reversal of 2534968800 is 88694352.

It is an interprime number because it is at equal distance from previous prime (2534968789) and next prime (2534968811).

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 143 ways as a sum of consecutive naturals, for example, 34725564 + ... + 34725636.

It is an arithmetic number, because the mean of its divisors is an integer number (13151502).

Almost surely, 2^2534968800 is an apocalyptic number.

2534968800 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 2534968800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5681448864).

2534968800 is an abundant number, since it is smaller than the sum of its proper divisors (8827928928).

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

2534968800 is a wasteful number, since it uses less digits than its factorization.

2534968800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2534968800 is about 50348.4736610754. The cubic root of 2534968800 is about 1363.5075262520.

It can be divided in two parts, 25349 and 68800, that added together give a palindrome (94149).

The spelling of 2534968800 in words is "two billion, five hundred thirty-four million, nine hundred sixty-eight thousand, eight hundred".