2439569664 has 315 divisors, whose sum is σ = 8486737567. Its totient is φ = 697019904.

The previous prime is 2439569647. The next prime is 2439569677. The reversal of 2439569664 is 4669659342.

The square root of 2439569664 is 49392.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (8398080) is a multiple of the sum of its prime divisors (12).

It is a self number, because there is not a number n which added to its sum of digits gives 2439569664.

It is an unprimeable number.

It is a polite number, since it can be written in 34 ways as a sum of consecutive naturals, for example, 348509949 + ... + 348509955.

Almost surely, 2^2439569664 is an apocalyptic number.

2439569664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2439569664 is the 49392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2439569664

2439569664 is an abundant number, since it is smaller than the sum of its proper divisors (6047167903).

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

2439569664 is an frugal number, since it uses more digits than its factorization.

2439569664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 12 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 54.

The cubic root of 2439569664 is about 1346.1839492427.

The spelling of 2439569664 in words is "two billion, four hundred thirty-nine million, five hundred sixty-nine thousand, six hundred sixty-four".