2632542400 has 84 divisors (see below), whose sum is σ = 6538664088. Its totient is φ = 1043107840.

The previous prime is 2632542389. The next prime is 2632542433. The reversal of 2632542400 is 42452362.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 163512 + ... + 178888.

Almost surely, 2^2632542400 is an apocalyptic number.

2632542400 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 2632542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3269332044).

2632542400 is an abundant number, since it is smaller than the sum of its proper divisors (3906121688).

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

2632542400 is a wasteful number, since it uses less digits than its factorization.

2632542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15506 (or 15491 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 2632542400 is about 51308.3073195755. The cubic root of 2632542400 is about 1380.7820254232.

Adding to 2632542400 its reverse (42452362), we get a palindrome (2674994762).

The spelling of 2632542400 in words is "two billion, six hundred thirty-two million, five hundred forty-two thousand, four hundred".