2780874756 has 243 divisors, whose sum is σ = 8386156597. Its totient is φ = 776244480.

The previous prime is 2780874737. The next prime is 2780874781. The reversal of 2780874756 is 6574780872.

It is a happy number.

The square root of 2780874756 is 52734.

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

It can be written as a sum of positive squares in only one way, i.e., 2165040900 + 615833856 = 46530^2 + 24816^2 .

It is a Duffinian number.

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, 59167525 + ... + 59167571.

Almost surely, 2^2780874756 is an apocalyptic number.

2780874756 is the 52734-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2780874756

2780874756 is an abundant number, since it is smaller than the sum of its proper divisors (5605281841).

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

2780874756 is a wasteful number, since it uses less digits than its factorization.

2780874756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The cubic root of 2780874756 is about 1406.2433333254.

The spelling of 2780874756 in words is "two billion, seven hundred eighty million, eight hundred seventy-four thousand, seven hundred fifty-six".