2150281680960 has 672 divisors, whose sum is σ = 8121937519872. Its totient is φ = 472026562560.

The previous prime is 2150281680929. The next prime is 2150281681043. The reversal of 2150281680960 is 690861820512.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×2150281680960² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 757940662 + ... + 757943498.

Almost surely, 2^{2150281680960} is an apocalyptic number.

2150281680960 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 2150281680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4060968759936).

2150281680960 is an abundant number, since it is smaller than the sum of its proper divisors (5971655838912).

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

2150281680960 is a wasteful number, since it uses less digits than its factorization.

2150281680960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3011 (or 2958 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 2150281680960 in words is "two trillion, one hundred fifty billion, two hundred eighty-one million, six hundred eighty thousand, nine hundred sixty".