2159317440 has 336 divisors, whose sum is σ = 8804769792. Its totient is φ = 493433856.

The previous prime is 2159317429. The next prime is 2159317471. The reversal of 2159317440 is 447139512.

2159317440 is a `hidden beast` number, since 21 + 593 + 1 + 7 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a junction number, because it is equal to n+sod(n) for n = 2159317395 and 2159317404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 542337 + ... + 546303.

It is an arithmetic number, because the mean of its divisors is an integer number (26204672).

Almost surely, 2^2159317440 is an apocalyptic number.

2159317440 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 2159317440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4402384896).

2159317440 is an abundant number, since it is smaller than the sum of its proper divisors (6645452352).

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

2159317440 is an equidigital number, since it uses as much as digits as its factorization.

2159317440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4006 (or 3984 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2159317440 is about 46468.4563978620. The cubic root of 2159317440 is about 1292.5246394020.

The spelling of 2159317440 in words is "two billion, one hundred fifty-nine million, three hundred seventeen thousand, four hundred forty".