2724400734440 has 128 divisors (see below), whose sum is σ = 7691154336000. Its totient is φ = 843755028480.

The previous prime is 2724400734371. The next prime is 2724400734487. The reversal of 2724400734440 is 444370044272.

It is a super-2 number, since 2×2724400734440² (a number of 26 digits) contains 22 as substring.

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, 2333465 + ... + 3300584.

It is an arithmetic number, because the mean of its divisors is an integer number (60087143250).

Almost surely, 2^{2724400734440} is an apocalyptic number.

2724400734440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2724400734440 is an abundant number, since it is smaller than the sum of its proper divisors (4966753601560).

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

2724400734440 is a wasteful number, since it uses less digits than its factorization.

2724400734440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5634235 (or 5634231 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 41.

The spelling of 2724400734440 in words is "two trillion, seven hundred twenty-four billion, four hundred million, seven hundred thirty-four thousand, four hundred forty".