2117256440 has 32 divisors (see below), whose sum is σ = 5130276480. Its totient is φ = 781756032.

The previous prime is 2117256437. The next prime is 2117256451. The reversal of 2117256440 is 446527112.

It is a junction number, because it is equal to n+sod(n) for n = 2117256397 and 2117256406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2035304 + ... + 2036343.

It is an arithmetic number, because the mean of its divisors is an integer number (160321140).

Almost surely, 2^2117256440 is an apocalyptic number.

2117256440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2117256440 is an abundant number, since it is smaller than the sum of its proper divisors (3013020040).

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

2117256440 is a wasteful number, since it uses less digits than its factorization.

2117256440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4071671 (or 4071667 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 2117256440 is about 46013.6549298140. The cubic root of 2117256440 is about 1284.0772574768.

The spelling of 2117256440 in words is "two billion, one hundred seventeen million, two hundred fifty-six thousand, four hundred forty".