2549672064 has 96 divisors (see below), whose sum is σ = 7364922240. Its totient is φ = 846650880.

The previous prime is 2549672039. The next prime is 2549672101. The reversal of 2549672064 is 4602769452.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 308109 + ... + 316275.

It is an arithmetic number, because the mean of its divisors is an integer number (76717940).

Almost surely, 2^2549672064 is an apocalyptic number.

2549672064 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 2549672064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3682461120).

2549672064 is an abundant number, since it is smaller than the sum of its proper divisors (4815250176).

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

2549672064 is a wasteful number, since it uses less digits than its factorization.

2549672064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8458 (or 8443 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 2549672064 is about 50494.2775371626. The cubic root of 2549672064 is about 1366.1386401447.

The spelling of 2549672064 in words is "two billion, five hundred forty-nine million, six hundred seventy-two thousand, sixty-four".