2364728100 has 144 divisors (see below), whose sum is σ = 7914160128. Its totient is φ = 533957760.

The previous prime is 2364728057. The next prime is 2364728117. The reversal of 2364728100 is 18274632.

It is a super-2 number, since 2×2364728100² = 11183877973859220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167517 + ... + 181083.

Almost surely, 2^2364728100 is an apocalyptic number.

2364728100 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 2364728100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3957080064).

2364728100 is an abundant number, since it is smaller than the sum of its proper divisors (5549432028).

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

2364728100 is a wasteful number, since it uses less digits than its factorization.

2364728100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13674 (or 13667 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 2364728100 is about 48628.4700561307. The cubic root of 2364728100 is about 1332.2745671220.

The spelling of 2364728100 in words is "two billion, three hundred sixty-four million, seven hundred twenty-eight thousand, one hundred".