2890782756 has 135 divisors (see below), whose sum is σ = 7903376481. Its totient is φ = 921334176.

The previous prime is 2890782733. The next prime is 2890782841. The reversal of 2890782756 is 6572870982.

It is a happy number.

The square root of 2890782756 is 53766.

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., 1515856356 + 1374926400 = 38934^2 + 37080^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 28065801 + ... + 28065903.

Almost surely, 2^2890782756 is an apocalyptic number.

2890782756 is the 53766-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2890782756

2890782756 is an abundant number, since it is smaller than the sum of its proper divisors (5012593725).

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

2890782756 is a wasteful number, since it uses less digits than its factorization.

2890782756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The cubic root of 2890782756 is about 1424.5307174945.

It can be divided in two parts, 28 and 90782756, that added together give a square (90782784 = 9528²).

The spelling of 2890782756 in words is "two billion, eight hundred ninety million, seven hundred eighty-two thousand, seven hundred fifty-six".