2300153856 has 624 divisors, whose sum is σ = 8784945792. Its totient is φ = 519045120.

The previous prime is 2300153831. The next prime is 2300153897. The reversal of 2300153856 is 6583510032.

It is a tau number, because it is divible by the number of its divisors (624).

It is a super-2 number, since 2×2300153856² = 10581415522543337472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 135303160 + ... + 135303176.

Almost surely, 2^2300153856 is an apocalyptic number.

2300153856 is a gapful number since it is divisible by the number (26) 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 2300153856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4392472896).

2300153856 is an abundant number, since it is smaller than the sum of its proper divisors (6484791936).

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

2300153856 is a wasteful number, since it uses less digits than its factorization.

2300153856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 2300153856 is about 47959.9192659871. The cubic root of 2300153856 is about 1320.0355545979.

Adding to 2300153856 its reverse (6583510032), we get a palindrome (8883663888).

The spelling of 2300153856 in words is "two billion, three hundred million, one hundred fifty-three thousand, eight hundred fifty-six".