2400517040000 has 80 divisors (see below), whose sum is σ = 5975937337920. Its totient is φ = 960206784000.

The previous prime is 2400517039993. The next prime is 2400517040083. The reversal of 2400517040000 is 407150042.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 14923232 + ... + 15083231.

It is an arithmetic number, because the mean of its divisors is an integer number (74699216724).

Almost surely, 2^{2400517040000} is an apocalyptic number.

2400517040000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400517040000 is an abundant number, since it is smaller than the sum of its proper divisors (3575420297920).

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

2400517040000 is an frugal number, since it uses more digits than its factorization.

2400517040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30006497 (or 30006470 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The spelling of 2400517040000 in words is "two trillion, four hundred billion, five hundred seventeen million, forty thousand".