2524842000 has 120 divisors (see below), whose sum is σ = 8818494360. Its totient is φ = 673286400.

The previous prime is 2524841983. The next prime is 2524842007. The reversal of 2524842000 is 2484252.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 591656976 + 1933185024 = 24324^2 + 43968^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (2524842007) 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, 52135 + ... + 88134.

It is an arithmetic number, because the mean of its divisors is an integer number (73487453).

Almost surely, 2^2524842000 is an apocalyptic number.

2524842000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2524842000 is an abundant number, since it is smaller than the sum of its proper divisors (6293652360).

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

2524842000 is a wasteful number, since it uses less digits than its factorization.

2524842000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140298 (or 140279 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 2524842000 is about 50247.8059222490. The cubic root of 2524842000 is about 1361.6894373644.

The spelling of 2524842000 in words is "two billion, five hundred twenty-four million, eight hundred forty-two thousand".