2779902628416 has 567 divisors, whose sum is σ = 8653899881523. Its totient is φ = 885938653440.

The previous prime is 2779902628343. The next prime is 2779902628423. The reversal of 2779902628416 is 6148262099772.

The square root of 2779902628416 is 1667304.

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

2779902628416 is a `hidden beast` number, since 2 + 7 + 79 + 90 + 2 + 62 + 8 + 416 = 666.

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, 33492802711 + ... + 33492802793.

Almost surely, 2^{2779902628416} is an apocalyptic number.

2779902628416 is the 1667304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2779902628416

2779902628416 is an abundant number, since it is smaller than the sum of its proper divisors (5873997253107).

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

2779902628416 is an frugal number, since it uses more digits than its factorization.

2779902628416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 2779902628416 in words is "two trillion, seven hundred seventy-nine billion, nine hundred two million, six hundred twenty-eight thousand, four hundred sixteen".