2150375040 has 448 divisors, whose sum is σ = 8428341600. Its totient is φ = 520058880.

The previous prime is 2150374957. The next prime is 2150375063. The reversal of 2150375040 is 405730512.

It is a happy number.

2150375040 is a `hidden beast` number, since 2 + 150 + 3 + 7 + 504 + 0 = 666.

It is a super-2 number, since 2×2150375040² = 9248225625310003200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2150374995 and 2150375013.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5131951 + ... + 5132369.

Almost surely, 2^2150375040 is an apocalyptic number.

2150375040 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 2150375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4214170800).

2150375040 is an abundant number, since it is smaller than the sum of its proper divisors (6277966560).

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

2150375040 is an equidigital number, since it uses as much as digits as its factorization.

2150375040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 2150375040 is about 46372.1364614571. The cubic root of 2150375040 is about 1290.7379228545.

The spelling of 2150375040 in words is "two billion, one hundred fifty million, three hundred seventy-five thousand, forty".