2642450400 has 108 divisors (see below), whose sum is σ = 9317966112. Its totient is φ = 704651520.

The previous prime is 2642450351. The next prime is 2642450401. The reversal of 2642450400 is 40542462.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2642450401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 176304 + ... + 190703.

It is an arithmetic number, because the mean of its divisors is an integer number (86277464).

Almost surely, 2^2642450400 is an apocalyptic number.

2642450400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2642450400 is an abundant number, since it is smaller than the sum of its proper divisors (6675515712).

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

2642450400 is a wasteful number, since it uses less digits than its factorization.

2642450400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367033 (or 367017 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2642450400 is about 51404.7702066647. The cubic root of 2642450400 is about 1382.5121223841.

Adding to 2642450400 its reverse (40542462), we get a palindrome (2682992862).

The spelling of 2642450400 in words is "two billion, six hundred forty-two million, four hundred fifty thousand, four hundred".