2151048900 has 864 divisors, whose sum is σ = 9149414400. Its totient is φ = 377395200.

The previous prime is 2151048877. The next prime is 2151048943. The reversal of 2151048900 is 98401512.

It is a happy number.

It is a super-2 number, since 2×2151048900² = 9254022740382420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 74174086 + ... + 74174114.

It is an arithmetic number, because the mean of its divisors is an integer number (10589600).

Almost surely, 2^2151048900 is an apocalyptic number.

2151048900 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 2151048900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4574707200).

2151048900 is an abundant number, since it is smaller than the sum of its proper divisors (6998365500).

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

2151048900 is a wasteful number, since it uses less digits than its factorization.

2151048900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 2151048900 is about 46379.4016779001. The cubic root of 2151048900 is about 1290.8727343491.

The spelling of 2151048900 in words is "two billion, one hundred fifty-one million, forty-eight thousand, nine hundred".