2549983680 has 392 divisors, whose sum is σ = 9654582672. Its totient is φ = 639000576.

The previous prime is 2549983577. The next prime is 2549983693. The reversal of 2549983680 is 863899452.

2549983680 is a `hidden beast` number, since 2 + 549 + 98 + 3 + 6 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3965439 + ... + 3966081.

Almost surely, 2^2549983680 is an apocalyptic number.

2549983680 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 2549983680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4827291336).

2549983680 is an abundant number, since it is smaller than the sum of its proper divisors (7104598992).

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

2549983680 is an equidigital number, since it uses as much as digits as its factorization.

2549983680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The square root of 2549983680 is about 50497.3630994728. The cubic root of 2549983680 is about 1366.1942934870.

The spelling of 2549983680 in words is "two billion, five hundred forty-nine million, nine hundred eighty-three thousand, six hundred eighty".