2549340864 has 280 divisors, whose sum is σ = 8709769728. Its totient is φ = 722234880.

The previous prime is 2549340817. The next prime is 2549340869. The reversal of 2549340864 is 4680439452.

2549340864 is a `hidden beast` number, since 2 + 549 + 3 + 40 + 8 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (2549340869) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5914729 + ... + 5915159.

Almost surely, 2^2549340864 is an apocalyptic number.

2549340864 is a gapful number since it is divisible by the number (24) 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 2549340864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4354884864).

2549340864 is an abundant number, since it is smaller than the sum of its proper divisors (6160428864).

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

2549340864 is a wasteful number, since it uses less digits than its factorization.

2549340864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 2549340864 is about 50490.9978511021. The cubic root of 2549340864 is about 1366.0794842089.

The spelling of 2549340864 in words is "two billion, five hundred forty-nine million, three hundred forty thousand, eight hundred sixty-four".