2647880928 has 240 divisors, whose sum is σ = 9709628544. Its totient is φ = 687709440.

The previous prime is 2647880923. The next prime is 2647880929. The reversal of 2647880928 is 8290887462.

2647880928 is a `hidden beast` number, since 2 + 6 + 478 + 80 + 92 + 8 = 666.

It is a super-2 number, since 2×2647880928² = 14022546817732282368, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2647880923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 192951 + ... + 206217.

Almost surely, 2^2647880928 is an apocalyptic number.

2647880928 is a gapful number since it is divisible by the number (28) 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 2647880928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4854814272).

2647880928 is an abundant number, since it is smaller than the sum of its proper divisors (7061747616).

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

2647880928 is a wasteful number, since it uses less digits than its factorization.

2647880928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13307 (or 13290 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 2647880928 is about 51457.5643418924. The cubic root of 2647880928 is about 1383.4585461473.

The spelling of 2647880928 in words is "two billion, six hundred forty-seven million, eight hundred eighty thousand, nine hundred twenty-eight".