2535254400 has 384 divisors, whose sum is σ = 9859368960. Its totient is φ = 560332800.

The previous prime is 2535254399. The next prime is 2535254437. The reversal of 2535254400 is 44525352.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 2082592 + ... + 2083808.

It is an arithmetic number, because the mean of its divisors is an integer number (25675440).

Almost surely, 2^2535254400 is an apocalyptic number.

2535254400 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 2535254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4929684480).

2535254400 is an abundant number, since it is smaller than the sum of its proper divisors (7324114560).

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

2535254400 is a wasteful number, since it uses less digits than its factorization.

2535254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The square root of 2535254400 is about 50351.3098141449. The cubic root of 2535254400 is about 1363.5587304490.

Adding to 2535254400 its reverse (44525352), we get a palindrome (2579779752).

The spelling of 2535254400 in words is "two billion, five hundred thirty-five million, two hundred fifty-four thousand, four hundred".