2150403840 has 432 divisors, whose sum is σ = 8155903392. Its totient is φ = 519929856.

The previous prime is 2150403839. The next prime is 2150403841. The reversal of 2150403840 is 483040512.

2150403840 is a `hidden beast` number, since 215 + 0 + 403 + 8 + 40 = 666.

2150403840 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2150403839) and next prime (2150403841).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2150403841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12429994 + ... + 12430166.

It is an arithmetic number, because the mean of its divisors is an integer number (18879406).

Almost surely, 2^2150403840 is an apocalyptic number.

2150403840 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 2150403840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4077951696).

2150403840 is an abundant number, since it is smaller than the sum of its proper divisors (6005499552).

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

2150403840 is a wasteful number, since it uses less digits than its factorization.

2150403840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2150403840 is about 46372.4469917213. The cubic root of 2150403840 is about 1290.7436851185.

The spelling of 2150403840 in words is "two billion, one hundred fifty million, four hundred three thousand, eight hundred forty".