2346240684456 has 40 divisors (see below), whose sum is σ = 6571646363370. Its totient is φ = 782080227936.

The previous prime is 2346240684433. The next prime is 2346240684479. The reversal of 2346240684456 is 6544860426432.

2346240684456 is a `hidden beast` number, since 2 + 3 + 4 + 624 + 0 + 6 + 8 + 4 + 4 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2346240684433) and next prime (2346240684479).

It can be written as a sum of positive squares in only one way, i.e., 1445203091556 + 901037592900 = 1202166^2 + 949230^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1810370251 + ... + 1810371546.

Almost surely, 2^{2346240684456} is an apocalyptic number.

It is an amenable number.

2346240684456 is an abundant number, since it is smaller than the sum of its proper divisors (4225405678914).

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

2346240684456 is a wasteful number, since it uses less digits than its factorization.

2346240684456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3620741815 (or 3620741802 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 54.

The spelling of 2346240684456 in words is "two trillion, three hundred forty-six billion, two hundred forty million, six hundred eighty-four thousand, four hundred fifty-six".