2959488504864 has 72 divisors (see below), whose sum is σ = 8416245529692. Its totient is φ = 986472714240.

The previous prime is 2959488504839. The next prime is 2959488504877. The reversal of 2959488504864 is 4684058849592.

2959488504864 is a `hidden beast` number, since 2 + 9 + 5 + 94 + 8 + 8 + 50 + 486 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1745727987600 + 1213760517264 = 1321260^2 + 1101708^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 2959488504792 and 2959488504801.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15454824 + ... + 15645144.

Almost surely, 2^{2959488504864} is an apocalyptic number.

2959488504864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2959488504864 is an abundant number, since it is smaller than the sum of its proper divisors (5456757024828).

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

2959488504864 is a wasteful number, since it uses less digits than its factorization.

2959488504864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244330 (or 244319 counting only the distinct ones).

The product of its (nonzero) digits is 796262400, while the sum is 72.

The spelling of 2959488504864 in words is "two trillion, nine hundred fifty-nine billion, four hundred eighty-eight million, five hundred four thousand, eight hundred sixty-four".