2641024400 has 120 divisors (see below), whose sum is σ = 7267374144. Its totient is φ = 903513600.

The previous prime is 2641024387. The next prime is 2641024411. The reversal of 2641024400 is 44201462.

2641024400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1911710 + ... + 1913090.

Almost surely, 2^2641024400 is an apocalyptic number.

2641024400 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 2641024400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3633687072).

2641024400 is an abundant number, since it is smaller than the sum of its proper divisors (4626349744).

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

2641024400 is a wasteful number, since it uses less digits than its factorization.

2641024400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2089 (or 2078 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 2641024400 is about 51390.8980267907. The cubic root of 2641024400 is about 1382.2633864600.

Adding to 2641024400 its reverse (44201462), we get a palindrome (2685225862).

The spelling of 2641024400 in words is "two billion, six hundred forty-one million, twenty-four thousand, four hundred".