2440042400 has 72 divisors (see below), whose sum is σ = 6215789664. Its totient is φ = 933574400.

The previous prime is 2440042393. The next prime is 2440042417. The reversal of 2440042400 is 42400442.

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

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, 47906 + ... + 84705.

It is an arithmetic number, because the mean of its divisors is an integer number (86330412).

Almost surely, 2^2440042400 is an apocalyptic number.

2440042400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2440042400 is an abundant number, since it is smaller than the sum of its proper divisors (3775747264).

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

2440042400 is a wasteful number, since it uses less digits than its factorization.

2440042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132654 (or 132641 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 2440042400 is about 49396.7853205044. The cubic root of 2440042400 is about 1346.2708974346.

Adding to 2440042400 its reverse (42400442), we get a palindrome (2482442842).

It can be divided in two parts, 2440042 and 400, that added together give a palindrome (2440442).

The spelling of 2440042400 in words is "two billion, four hundred forty million, forty-two thousand, four hundred".