2456834940 has 216 divisors, whose sum is σ = 8804970720. Its totient is φ = 543179520.

The previous prime is 2456834927. The next prime is 2456835011. The reversal of 2456834940 is 494386542.

2456834940 is a `hidden beast` number, since 2 + 4 + 568 + 3 + 49 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1209846 + ... + 1211874.

Almost surely, 2^2456834940 is an apocalyptic number.

2456834940 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 2456834940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4402485360).

2456834940 is an abundant number, since it is smaller than the sum of its proper divisors (6348135780).

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

2456834940 is a wasteful number, since it uses less digits than its factorization.

2456834940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2113 (or 2077 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 2456834940 is about 49566.4699166685. The cubic root of 2456834940 is about 1349.3522159660.

The spelling of 2456834940 in words is "two billion, four hundred fifty-six million, eight hundred thirty-four thousand, nine hundred forty".