2978351124100 has 243 divisors, whose sum is σ = 7371019541613. Its totient is φ = 1043757792000.

The previous prime is 2978351124053. The next prime is 2978351124113. The reversal of 2978351124100 is 14211538792.

The square root of 2978351124100 is 1725790.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 2126038112836 + 852313011264 = 1458094^2 + 923208^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5505269830 + ... + 5505270370.

Almost surely, 2^{2978351124100} is an apocalyptic number.

2978351124100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2978351124100 is the 1725790-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2978351124100

2978351124100 is an abundant number, since it is smaller than the sum of its proper divisors (4392668417513).

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

2978351124100 is a wasteful number, since it uses less digits than its factorization.

2978351124100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 43.

The spelling of 2978351124100 in words is "two trillion, nine hundred seventy-eight billion, three hundred fifty-one million, one hundred twenty-four thousand, one hundred".