2400195456 has 128 divisors (see below), whose sum is σ = 7500794400. Its totient is φ = 752984064.

The previous prime is 2400195419. The next prime is 2400195467. The reversal of 2400195456 is 6545910042.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2400195456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38326 + ... + 79178.

Almost surely, 2^2400195456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2400195456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3750397200).

2400195456 is an abundant number, since it is smaller than the sum of its proper divisors (5100598944).

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

2400195456 is a wasteful number, since it uses less digits than its factorization.

2400195456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40893 (or 40875 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2400195456 is about 48991.7896794963. The cubic root of 2400195456 is about 1338.9022449240.

The spelling of 2400195456 in words is "two billion, four hundred million, one hundred ninety-five thousand, four hundred fifty-six".