2464912296 has 336 divisors, whose sum is σ = 8722140000. Its totient is φ = 638953920.

The previous prime is 2464912283. The next prime is 2464912301. The reversal of 2464912296 is 6922194642.

2464912296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 4939455 + ... + 4939953.

It is an arithmetic number, because the mean of its divisors is an integer number (25958750).

Almost surely, 2^2464912296 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 2464912296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4361070000).

2464912296 is an abundant number, since it is smaller than the sum of its proper divisors (6257227704).

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

2464912296 is a wasteful number, since it uses less digits than its factorization.

2464912296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 522 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 2464912296 is about 49647.8830968653. The cubic root of 2464912296 is about 1350.8293570563.

The spelling of 2464912296 in words is "two billion, four hundred sixty-four million, nine hundred twelve thousand, two hundred ninety-six".