2552683704480 has 576 divisors, whose sum is σ = 11285560016640. Its totient is φ = 510240964608.

The previous prime is 2552683704433. The next prime is 2552683704509. The reversal of 2552683704480 is 844073862552.

2552683704480 is a `hidden beast` number, since 2 + 5 + 5 + 268 + 370 + 4 + 4 + 8 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1977124 + ... + 3002396.

It is an arithmetic number, because the mean of its divisors is an integer number (19592986140).

Almost surely, 2^{2552683704480} is an apocalyptic number.

2552683704480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2552683704480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5642780008320).

2552683704480 is an abundant number, since it is smaller than the sum of its proper divisors (8732876312160).

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

2552683704480 is a wasteful number, since it uses less digits than its factorization.

2552683704480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025333 (or 1025322 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 2552683704480 in words is "two trillion, five hundred fifty-two billion, six hundred eighty-three million, seven hundred four thousand, four hundred eighty".