2523142300 has 72 divisors (see below), whose sum is σ = 6385181600. Its totient is φ = 865065600.

The previous prime is 2523142277. The next prime is 2523142331. The reversal of 2523142300 is 32413252.

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 23 ways as a sum of consecutive naturals, for example, 2481 + ... + 71080.

Almost surely, 2^2523142300 is an apocalyptic number.

2523142300 is a gapful number since it is divisible by the number (20) 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 2523142300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3192590800).

2523142300 is an abundant number, since it is smaller than the sum of its proper divisors (3862039300).

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

2523142300 is a wasteful number, since it uses less digits than its factorization.

2523142300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73596 (or 73575 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 2523142300 is about 50230.8898985475. The cubic root of 2523142300 is about 1361.3838099114.

Adding to 2523142300 its reverse (32413252), we get a palindrome (2555555552).

It can be divided in two parts, 252 and 3142300, that multiplied together give a square (791859600 = 28140²).

The spelling of 2523142300 in words is "two billion, five hundred twenty-three million, one hundred forty-two thousand, three hundred".