2159406540 has 240 divisors, whose sum is σ = 7025356800. Its totient is φ = 554905728.

The previous prime is 2159406533. The next prime is 2159406553. The reversal of 2159406540 is 456049512.

2159406540 is a `hidden beast` number, since 2 + 1 + 594 + 0 + 65 + 4 + 0 = 666.

2159406540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 2159406495 and 2159406504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6014881 + ... + 6015239.

It is an arithmetic number, because the mean of its divisors is an integer number (29272320).

Almost surely, 2^2159406540 is an apocalyptic number.

2159406540 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 2159406540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3512678400).

2159406540 is an abundant number, since it is smaller than the sum of its proper divisors (4865950260).

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

2159406540 is a wasteful number, since it uses less digits than its factorization.

2159406540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2159406540 is about 46469.4151028394. The cubic root of 2159406540 is about 1292.5424169891.

The spelling of 2159406540 in words is "two billion, one hundred fifty-nine million, four hundred six thousand, five hundred forty".