2400012720 has 160 divisors (see below), whose sum is σ = 9447728640. Its totient is φ = 548570880.

The previous prime is 2400012709. The next prime is 2400012737. The reversal of 2400012720 is 272100042.

It is a super-2 number, since 2×2400012720² = 11520122112323596800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2400012693 and 2400012702.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64246 + ... + 94485.

It is an arithmetic number, because the mean of its divisors is an integer number (59048304).

Almost surely, 2^2400012720 is an apocalyptic number.

2400012720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400012720 is an abundant number, since it is smaller than the sum of its proper divisors (7047715920).

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

2400012720 is a wasteful number, since it uses less digits than its factorization.

2400012720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158760 (or 158748 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 2400012720 is about 48989.9246784479. The cubic root of 2400012720 is about 1338.8682654899.

Adding to 2400012720 its reverse (272100042), we get a palindrome (2672112762).

The spelling of 2400012720 in words is "two billion, four hundred million, twelve thousand, seven hundred twenty".