2978420268384 has 192 divisors, whose sum is σ = 9888826913280. Its totient is φ = 863310159360.

The previous prime is 2978420268331. The next prime is 2978420268433. The reversal of 2978420268384 is 4838620248792.

2978420268384 is a `hidden beast` number, since 2 + 9 + 78 + 420 + 2 + 68 + 3 + 84 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6594147 + ... + 7031330.

It is an arithmetic number, because the mean of its divisors is an integer number (51504306840).

Almost surely, 2^{2978420268384} is an apocalyptic number.

2978420268384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2978420268384 is an abundant number, since it is smaller than the sum of its proper divisors (6910406644896).

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

2978420268384 is a wasteful number, since it uses less digits than its factorization.

2978420268384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13625530 (or 13625516 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 2978420268384 in words is "two trillion, nine hundred seventy-eight billion, four hundred twenty million, two hundred sixty-eight thousand, three hundred eighty-four".