2453978296 has 64 divisors (see below), whose sum is σ = 5792417280. Its totient is φ = 946788480.

The previous prime is 2453978287. The next prime is 2453978299. The reversal of 2453978296 is 6928793542.

It is a super-3 number, since 3×2453978296³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2453978299) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44110 + ... + 82786.

It is an arithmetic number, because the mean of its divisors is an integer number (90506520).

Almost surely, 2^2453978296 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 2453978296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2896208640).

2453978296 is an abundant number, since it is smaller than the sum of its proper divisors (3338438984).

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

2453978296 is a wasteful number, since it uses less digits than its factorization.

2453978296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38804 (or 38800 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 55.

The square root of 2453978296 is about 49537.6452407661. The cubic root of 2453978296 is about 1348.8290341845.

The spelling of 2453978296 in words is "two billion, four hundred fifty-three million, nine hundred seventy-eight thousand, two hundred ninety-six".