2521677312 has 640 divisors, whose sum is σ = 9805086720. Its totient is φ = 620421120.

The previous prime is 2521677271. The next prime is 2521677313. The reversal of 2521677312 is 2137761252.

2521677312 is a `hidden beast` number, since 2 + 521 + 67 + 73 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2521677313) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24482253 + ... + 24482355.

It is an arithmetic number, because the mean of its divisors is an integer number (15320448).

Almost surely, 2^2521677312 is an apocalyptic number.

2521677312 is a gapful number since it is divisible by the number (22) 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 2521677312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4902543360).

2521677312 is an abundant number, since it is smaller than the sum of its proper divisors (7283409408).

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

2521677312 is a wasteful number, since it uses less digits than its factorization.

2521677312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 149 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 2521677312 is about 50216.3052404296. The cubic root of 2521677312 is about 1361.1202764769.

The spelling of 2521677312 in words is "two billion, five hundred twenty-one million, six hundred seventy-seven thousand, three hundred twelve".