2978758424464 has 75 divisors (see below), whose sum is σ = 6136159107253. Its totient is φ = 1400829776384.

The previous prime is 2978758424449. The next prime is 2978758424483. The reversal of 2978758424464 is 4644248578792.

It is a happy number.

The square root of 2978758424464 is 1725908.

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

It can be written as a sum of positive squares in 7 ways, for example, as 150280275600 + 2828478148864 = 387660^2 + 1681808^2 .

It is a Duffinian number.

Its product of digits (867041280) is a multiple of the sum of its prime divisors (1512).

It is a junction number, because it is equal to n+sod(n) for n = 2978758424393 and 2978758424402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1995148902 + ... + 1995150394.

Almost surely, 2^{2978758424464} is an apocalyptic number.

2978758424464 is the 1725908-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2978758424464

2978758424464 is an abundant number, since it is smaller than the sum of its proper divisors (3157400682789).

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

2978758424464 is an frugal number, since it uses more digits than its factorization.

2978758424464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3062 (or 1512 counting only the distinct ones).

The product of its digits is 867041280, while the sum is 70.

The spelling of 2978758424464 in words is "two trillion, nine hundred seventy-eight billion, seven hundred fifty-eight million, four hundred twenty-four thousand, four hundred sixty-four".