2570765303040 has 648 divisors, whose sum is σ = 9434971630560. Its totient is φ = 596062494720.

The previous prime is 2570765303009. The next prime is 2570765303053. The reversal of 2570765303040 is 403035670752.

It is a junction number, because it is equal to n+sod(n) for n = 2570765302983 and 2570765303001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 245789331 + ... + 245799789.

Almost surely, 2^{2570765303040} is an apocalyptic number.

2570765303040 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 2570765303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4717485815280).

2570765303040 is an abundant number, since it is smaller than the sum of its proper divisors (6864206327520).

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

2570765303040 is a wasteful number, since it uses less digits than its factorization.

2570765303040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10551 (or 10503 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 42.

The spelling of 2570765303040 in words is "two trillion, five hundred seventy billion, seven hundred sixty-five million, three hundred three thousand, forty".