2101286880 has 384 divisors, whose sum is σ = 9170703360. Its totient is φ = 436561920.

The previous prime is 2101286833. The next prime is 2101286903. The reversal of 2101286880 is 886821012.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 63 ways as a sum of consecutive naturals, for example, 329482 + ... + 335798.

It is an arithmetic number, because the mean of its divisors is an integer number (23882040).

Almost surely, 2^2101286880 is an apocalyptic number.

2101286880 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 2101286880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4585351680).

2101286880 is an abundant number, since it is smaller than the sum of its proper divisors (7069416480).

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

2101286880 is a wasteful number, since it uses less digits than its factorization.

2101286880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6359 (or 6345 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 2101286880 is about 45839.7958110636. The cubic root of 2101286880 is about 1280.8406912111.

The spelling of 2101286880 in words is "two billion, one hundred one million, two hundred eighty-six thousand, eight hundred eighty".