2524763142 has 128 divisors (see below), whose sum is σ = 6401203200. Its totient is φ = 730598400.

The previous prime is 2524763141. The next prime is 2524763161. The reversal of 2524763142 is 2413674252.

It is a junction number, because it is equal to n+sod(n) for n = 2524763097 and 2524763106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2524763141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1670167 + ... + 1671677.

It is an arithmetic number, because the mean of its divisors is an integer number (50009400).

Almost surely, 2^2524763142 is an apocalyptic number.

2524763142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2524763142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3200601600).

2524763142 is an abundant number, since it is smaller than the sum of its proper divisors (3876440058).

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

2524763142 is a wasteful number, since it uses less digits than its factorization.

2524763142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659 (or 1653 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 2524763142 is about 50247.0212251433. The cubic root of 2524763142 is about 1361.6752607382.

The spelling of 2524763142 in words is "two billion, five hundred twenty-four million, seven hundred sixty-three thousand, one hundred forty-two".