2439297688464 has 640 divisors, whose sum is σ = 8837164385280. Its totient is φ = 627088490496.

The previous prime is 2439297688447. The next prime is 2439297688483. The reversal of 2439297688464 is 4648867929342.

2439297688464 is a `hidden beast` number, since 2 + 4 + 3 + 92 + 9 + 76 + 8 + 8 + 464 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2439297688392 and 2439297688401.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 327111424 + ... + 327118880.

It is an arithmetic number, because the mean of its divisors is an integer number (13808069352).

Almost surely, 2^{2439297688464} is an apocalyptic number.

2439297688464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2439297688464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4418582192640).

2439297688464 is an abundant number, since it is smaller than the sum of its proper divisors (6397866696816).

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

2439297688464 is a wasteful number, since it uses less digits than its factorization.

2439297688464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7704 (or 7692 counting only the distinct ones).

The product of its digits is 1003290624, while the sum is 72.

The spelling of 2439297688464 in words is "two trillion, four hundred thirty-nine billion, two hundred ninety-seven million, six hundred eighty-eight thousand, four hundred sixty-four".