5540002400 has 36 divisors (see below), whose sum is σ = 13524532812. Its totient is φ = 2216000640.

The previous prime is 5540002397. The next prime is 5540002417. The reversal of 5540002400 is 42000455.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3461702 + ... + 3463301.

It is an arithmetic number, because the mean of its divisors is an integer number (375681467).

Almost surely, 2^5540002400 is an apocalyptic number.

5540002400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5540002400 is an abundant number, since it is smaller than the sum of its proper divisors (7984530412).

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

5540002400 is a wasteful number, since it uses less digits than its factorization.

5540002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6925023 (or 6925010 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 5540002400 is about 74431.1923859883. The cubic root of 5540002400 is about 1769.4433011514.

Adding to 5540002400 its reverse (42000455), we get a palindrome (5582002855).

The spelling of 5540002400 in words is "five billion, five hundred forty million, two thousand, four hundred".