2541645624 has 64 divisors (see below), whose sum is σ = 7343481600. Its totient is φ = 718020864.

The previous prime is 2541645593. The next prime is 2541645629. The reversal of 2541645624 is 4265461452.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2541645629) 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, 70042 + ... + 99945.

It is an arithmetic number, because the mean of its divisors is an integer number (114741900).

Almost surely, 2^2541645624 is an apocalyptic number.

2541645624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2541645624 is an abundant number, since it is smaller than the sum of its proper divisors (4801835976).

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

2541645624 is a wasteful number, since it uses less digits than its factorization.

2541645624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170092 (or 170088 counting only the distinct ones).

The product of its digits is 230400, while the sum is 39.

The square root of 2541645624 is about 50414.7361790181. The cubic root of 2541645624 is about 1364.7035854916.

The spelling of 2541645624 in words is "two billion, five hundred forty-one million, six hundred forty-five thousand, six hundred twenty-four".