2100288960 has 1008 divisors, whose sum is σ = 9704892960. Its totient is φ = 425779200.

The previous prime is 2100288959. The next prime is 2100288973. The reversal of 2100288960 is 698820012.

2100288960 = 309³ + 310³ + ... + 363³.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×2100288960² = 8822427430995763200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 51226540 + ... + 51226580.

It is an arithmetic number, because the mean of its divisors is an integer number (9627870).

Almost surely, 2^2100288960 is an apocalyptic number.

2100288960 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 2100288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4852446480).

2100288960 is an abundant number, since it is smaller than the sum of its proper divisors (7604604000).

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

2100288960 is a wasteful number, since it uses less digits than its factorization.

2100288960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 2100288960 is about 45828.9096531873. The cubic root of 2100288960 is about 1280.6378981914.

The spelling of 2100288960 in words is "two billion, one hundred million, two hundred eighty-eight thousand, nine hundred sixty".