2632645400 has 144 divisors (see below), whose sum is σ = 7689559920. Its totient is φ = 820512000.

The previous prime is 2632645399. The next prime is 2632645409. The reversal of 2632645400 is 45462362.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2632645409) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 161630 + ... + 177170.

Almost surely, 2^2632645400 is an apocalyptic number.

2632645400 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 2632645400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3844779960).

2632645400 is an abundant number, since it is smaller than the sum of its proper divisors (5056914520).

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

2632645400 is a wasteful number, since it uses less digits than its factorization.

2632645400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15586 (or 15566 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The square root of 2632645400 is about 51309.3110458521. The cubic root of 2632645400 is about 1380.8000331982.

The spelling of 2632645400 in words is "two billion, six hundred thirty-two million, six hundred forty-five thousand, four hundred".