2561039424 has 112 divisors (see below), whose sum is σ = 7563307200. Its totient is φ = 849788928.

The previous prime is 2561039419. The next prime is 2561039449. The reversal of 2561039424 is 4249301652.

It is a happy number.

2561039424 is a `hidden beast` number, since 2 + 5 + 610 + 39 + 4 + 2 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 388992 + ... + 395520.

Almost surely, 2^2561039424 is an apocalyptic number.

2561039424 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 2561039424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3781653600).

2561039424 is an abundant number, since it is smaller than the sum of its proper divisors (5002267776).

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

2561039424 is a wasteful number, since it uses less digits than its factorization.

2561039424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6777 (or 6761 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2561039424 is about 50606.7132305587. The cubic root of 2561039424 is about 1368.1658770849.

The spelling of 2561039424 in words is "two billion, five hundred sixty-one million, thirty-nine thousand, four hundred twenty-four".