2679478920 has 128 divisors (see below), whose sum is σ = 8992080000. Its totient is φ = 709689600.

The previous prime is 2679478903. The next prime is 2679478937. The reversal of 2679478920 is 298749762.

It is an interprime number because it is at equal distance from previous prime (2679478903) and next prime (2679478937).

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 152595 + ... + 169245.

It is an arithmetic number, because the mean of its divisors is an integer number (70250625).

Almost surely, 2^2679478920 is an apocalyptic number.

2679478920 is a gapful number since it is divisible by the number (20) 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 2679478920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4496040000).

2679478920 is an abundant number, since it is smaller than the sum of its proper divisors (6312601080).

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

2679478920 is a wasteful number, since it uses less digits than its factorization.

2679478920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16820 (or 16810 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 2679478920 is about 51763.6834083511. The cubic root of 2679478920 is about 1388.9398814297.

The spelling of 2679478920 in words is "two billion, six hundred seventy-nine million, four hundred seventy-eight thousand, nine hundred twenty".