2505682767490 has 96 divisors (see below), whose sum is σ = 5556548936304. Its totient is φ = 808362455040.

The previous prime is 2505682767461. The next prime is 2505682767521. The reversal of 2505682767490 is 947672865052.

It can be written as a sum of positive squares in 8 ways, for example, as 1480609540809 + 1025073226681 = 1216803^2 + 1012459^2 .

It is a super-2 number, since 2×2505682767490² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (61) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 36959664 + ... + 37027396.

Almost surely, 2^{2505682767490} is an apocalyptic number.

2505682767490 is an abundant number, since it is smaller than the sum of its proper divisors (3050866168814).

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

2505682767490 is a wasteful number, since it uses less digits than its factorization.

2505682767490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72212 (or 72205 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 61.

The spelling of 2505682767490 in words is "two trillion, five hundred five billion, six hundred eighty-two million, seven hundred sixty-seven thousand, four hundred ninety".