2163435456 has 420 divisors, whose sum is σ = 7589791272. Its totient is φ = 540546048.

The previous prime is 2163435431. The next prime is 2163435481. The reversal of 2163435456 is 6545343612.

It is an interprime number because it is at equal distance from previous prime (2163435431) and next prime (2163435481).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 113865015 + ... + 113865033.

Almost surely, 2^2163435456 is an apocalyptic number.

2163435456 is a gapful number since it is divisible by the number (26) 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 2163435456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3794895636).

2163435456 is an abundant number, since it is smaller than the sum of its proper divisors (5426355816).

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

2163435456 is an equidigital number, since it uses as much as digits as its factorization.

2163435456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 44 counting only the distinct ones).

The product of its digits is 259200, while the sum is 39.

The square root of 2163435456 is about 46512.7450920713. The cubic root of 2163435456 is about 1293.3457718953.

Multiplying 2163435456 by its sum of digits (39), we get a square (84373982784 = 290472²).

2163435456 divided by its sum of digits (39) gives a square (55472704 = 7448²).

The spelling of 2163435456 in words is "two billion, one hundred sixty-three million, four hundred thirty-five thousand, four hundred fifty-six".