2449140864 has 128 divisors (see below), whose sum is σ = 6748385280. Its totient is φ = 786170880.

The previous prime is 2449140851. The next prime is 2449140877. The reversal of 2449140864 is 4680419442.

It is an interprime number because it is at equal distance from previous prime (2449140851) and next prime (2449140877).

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

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, 3368469 + ... + 3369195.

It is an arithmetic number, because the mean of its divisors is an integer number (52721760).

Almost surely, 2^2449140864 is an apocalyptic number.

2449140864 is a gapful number since it is divisible by the number (24) 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 2449140864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3374192640).

2449140864 is an abundant number, since it is smaller than the sum of its proper divisors (4299244416).

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

2449140864 is a wasteful number, since it uses less digits than its factorization.

2449140864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 2449140864 is about 49488.7953379348. The cubic root of 2449140864 is about 1347.9421530941.

The spelling of 2449140864 in words is "two billion, four hundred forty-nine million, one hundred forty thousand, eight hundred sixty-four".