2524429824 has 240 divisors, whose sum is σ = 8287625808. Its totient is φ = 678494208.

The previous prime is 2524429777. The next prime is 2524429829. The reversal of 2524429824 is 4289244252.

2524429824 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2524429829) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1278502 + ... + 1280474.

Almost surely, 2^2524429824 is an apocalyptic number.

2524429824 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 2524429824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4143812904).

2524429824 is an abundant number, since it is smaller than the sum of its proper divisors (5763195984).

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

2524429824 is a wasteful number, since it uses less digits than its factorization.

2524429824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2025 (or 2002 counting only the distinct ones).

The product of its digits is 368640, while the sum is 42.

The square root of 2524429824 is about 50243.7043220342. The cubic root of 2524429824 is about 1361.6153355329.

The spelling of 2524429824 in words is "two billion, five hundred twenty-four million, four hundred twenty-nine thousand, eight hundred twenty-four".