2724400476492 has 48 divisors (see below), whose sum is σ = 6403494424320. Its totient is φ = 901483754688.

The previous prime is 2724400476491. The next prime is 2724400476527. The reversal of 2724400476492 is 2946740044272.

It is a happy number.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2724400476491) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13330993 + ... + 13533815.

It is an arithmetic number, because the mean of its divisors is an integer number (133406133840).

Almost surely, 2^{2724400476492} is an apocalyptic number.

It is an amenable number.

2724400476492 is an abundant number, since it is smaller than the sum of its proper divisors (3679093947828).

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

2724400476492 is a wasteful number, since it uses less digits than its factorization.

2724400476492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211022 (or 211020 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 51.

The spelling of 2724400476492 in words is "two trillion, seven hundred twenty-four billion, four hundred million, four hundred seventy-six thousand, four hundred ninety-two".