2928480506784 has 192 divisors, whose sum is σ = 9999690382080. Its totient is φ = 816301117440.

The previous prime is 2928480506779. The next prime is 2928480506837. The reversal of 2928480506784 is 4876050848292.

2928480506784 is a `hidden beast` number, since 2 + 9 + 2 + 8 + 48 + 0 + 506 + 7 + 84 = 666.

It is a super-2 number, since 2×2928480506784² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) 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 (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5656989 + ... + 6152924.

It is an arithmetic number, because the mean of its divisors is an integer number (52081720740).

Almost surely, 2^{2928480506784} is an apocalyptic number.

2928480506784 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2928480506784 is an abundant number, since it is smaller than the sum of its proper divisors (7071209875296).

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

2928480506784 is a wasteful number, since it uses less digits than its factorization.

2928480506784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11809980 (or 11809966 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 2928480506784 in words is "two trillion, nine hundred twenty-eight billion, four hundred eighty million, five hundred six thousand, seven hundred eighty-four".