2978456100 has 72 divisors (see below), whose sum is σ = 9124603488. Its totient is φ = 747532800.

The previous prime is 2978456077. The next prime is 2978456149. The reversal of 2978456100 is 16548792.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286906 + ... + 297105.

It is an arithmetic number, because the mean of its divisors is an integer number (126730604).

Almost surely, 2^2978456100 is an apocalyptic number.

2978456100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2978456100 is an abundant number, since it is smaller than the sum of its proper divisors (6146147388).

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

2978456100 is a wasteful number, since it uses less digits than its factorization.

2978456100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584045 (or 584038 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 2978456100 is about 54575.2333939123. The cubic root of 2978456100 is about 1438.7888639697.

The spelling of 2978456100 in words is "two billion, nine hundred seventy-eight million, four hundred fifty-six thousand, one hundred".