2546130624 has 112 divisors (see below), whose sum is σ = 6911205888. Its totient is φ = 826887168.

The previous prime is 2546130623. The next prime is 2546130641. The reversal of 2546130624 is 4260316452.

2546130624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2546130623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2553294 + ... + 2554290.

Almost surely, 2^2546130624 is an apocalyptic number.

2546130624 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 2546130624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3455602944).

2546130624 is an abundant number, since it is smaller than the sum of its proper divisors (4365075264).

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

2546130624 is a wasteful number, since it uses less digits than its factorization.

2546130624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 2546130624 is about 50459.1976154992. The cubic root of 2546130624 is about 1365.5058346126.

The spelling of 2546130624 in words is "two billion, five hundred forty-six million, one hundred thirty thousand, six hundred twenty-four".