2780757252 has 288 divisors, whose sum is σ = 9356256000. Its totient is φ = 689568768.

The previous prime is 2780757251. The next prime is 2780757253. The reversal of 2780757252 is 2527570872.

2780757252 is a `hidden beast` number, since 2 + 78 + 0 + 7 + 572 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2780757251) and next prime (2780757253).

It is a super-2 number, since 2×2780757252² = 15465221789101183008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2780757198 and 2780757207.

It is not an unprimeable number, because it can be changed into a prime (2780757251) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2728399 + ... + 2729417.

It is an arithmetic number, because the mean of its divisors is an integer number (32487000).

Almost surely, 2^2780757252 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 2780757252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4678128000).

2780757252 is an abundant number, since it is smaller than the sum of its proper divisors (6575498748).

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

2780757252 is a wasteful number, since it uses less digits than its factorization.

2780757252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 548800, while the sum is 45.

The square root of 2780757252 is about 52732.8858683080. The cubic root of 2780757252 is about 1406.2235264231.

The spelling of 2780757252 in words is "two billion, seven hundred eighty million, seven hundred fifty-seven thousand, two hundred fifty-two".