2521475424 has 288 divisors, whose sum is σ = 8009505504. Its totient is φ = 747601920.

The previous prime is 2521475413. The next prime is 2521475431. The reversal of 2521475424 is 4245741252.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19247839 + ... + 19247969.

It is an arithmetic number, because the mean of its divisors is an integer number (27810783).

Almost surely, 2^2521475424 is an apocalyptic number.

2521475424 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 2521475424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4004752752).

2521475424 is an abundant number, since it is smaller than the sum of its proper divisors (5488030080).

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

2521475424 is a wasteful number, since it uses less digits than its factorization.

2521475424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 299 counting only the distinct ones).

The product of its digits is 89600, while the sum is 36.

The square root of 2521475424 is about 50214.2950164592. The cubic root of 2521475424 is about 1361.0839512919.

The spelling of 2521475424 in words is "two billion, five hundred twenty-one million, four hundred seventy-five thousand, four hundred twenty-four".