2524084290 has 288 divisors, whose sum is σ = 8227305216. Its totient is φ = 525657600.

The previous prime is 2524084261. The next prime is 2524084313. The reversal of 2524084290 is 924804252.

2524084290 is a `hidden beast` number, since 2 + 524 + 0 + 8 + 42 + 90 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16076892 + ... + 16077048.

It is an arithmetic number, because the mean of its divisors is an integer number (28567032).

Almost surely, 2^2524084290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2524084290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4113652608).

2524084290 is an abundant number, since it is smaller than the sum of its proper divisors (5703220926).

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

2524084290 is a wasteful number, since it uses less digits than its factorization.

2524084290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2524084290 is about 50240.2656242978. The cubic root of 2524084290 is about 1361.5532085189.

The spelling of 2524084290 in words is "two billion, five hundred twenty-four million, eighty-four thousand, two hundred ninety".