2549821680 has 400 divisors, whose sum is σ = 10284341760. Its totient is φ = 573433344.

The previous prime is 2549821667. The next prime is 2549821691. The reversal of 2549821680 is 861289452.

2549821680 is a `hidden beast` number, since 2 + 549 + 8 + 21 + 6 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3038701 + ... + 3039539.

Almost surely, 2^2549821680 is an apocalyptic number.

2549821680 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 2549821680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5142170880).

2549821680 is an abundant number, since it is smaller than the sum of its proper divisors (7734520080).

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

2549821680 is a wasteful number, since it uses less digits than its factorization.

2549821680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 2549821680 is about 50495.7590298433. The cubic root of 2549821680 is about 1366.1653615158.

The spelling of 2549821680 in words is "two billion, five hundred forty-nine million, eight hundred twenty-one thousand, six hundred eighty".