2145326456 has 128 divisors (see below), whose sum is σ = 5058547200. Its totient is φ = 830476800.

The previous prime is 2145326413. The next prime is 2145326471. The reversal of 2145326456 is 6546235412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11984975 + ... + 11985153.

It is an arithmetic number, because the mean of its divisors is an integer number (39519900).

Almost surely, 2^2145326456 is an apocalyptic number.

2145326456 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 2145326456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2529273600).

2145326456 is an abundant number, since it is smaller than the sum of its proper divisors (2913220744).

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

2145326456 is a wasteful number, since it uses less digits than its factorization.

2145326456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 465 counting only the distinct ones).

The product of its digits is 172800, while the sum is 38.

The square root of 2145326456 is about 46317.6689396174. The cubic root of 2145326456 is about 1289.7270131244.

The spelling of 2145326456 in words is "two billion, one hundred forty-five million, three hundred twenty-six thousand, four hundred fifty-six".