2452077121536 has 624 divisors, whose sum is σ = 8426788616064. Its totient is φ = 697908068352.

The previous prime is 2452077121523. The next prime is 2452077121579. The reversal of 2452077121536 is 6351217702542.

2452077121536 is a `hidden beast` number, since 2 + 4 + 5 + 20 + 7 + 71 + 21 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2452077121491 and 2452077121500.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2459454990 + ... + 2459455986.

It is an arithmetic number, because the mean of its divisors is an integer number (13504468936).

Almost surely, 2^{2452077121536} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2452077121536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4213394308032).

2452077121536 is an abundant number, since it is smaller than the sum of its proper divisors (5974711494528).

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

2452077121536 is an frugal number, since it uses more digits than its factorization.

2452077121536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 2452077121536 in words is "two trillion, four hundred fifty-two billion, seventy-seven million, one hundred twenty-one thousand, five hundred thirty-six".