2505677760 has 224 divisors, whose sum is σ = 8953804800. Its totient is φ = 659543040.

The previous prime is 2505677737. The next prime is 2505677761. The reversal of 2505677760 is 677765052.

2505677760 is a `hidden beast` number, since 2 + 505 + 6 + 77 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505677761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 680725 + ... + 684395.

Almost surely, 2^2505677760 is an apocalyptic number.

2505677760 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 2505677760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4476902400).

2505677760 is an abundant number, since it is smaller than the sum of its proper divisors (6448127040).

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

2505677760 is a wasteful number, since it uses less digits than its factorization.

2505677760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3776 (or 3760 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 45.

The square root of 2505677760 is about 50056.7453995962. The cubic root of 2505677760 is about 1358.2354855768.

The spelling of 2505677760 in words is "two billion, five hundred five million, six hundred seventy-seven thousand, seven hundred sixty".