2453943264 has 96 divisors (see below), whose sum is σ = 6608536704. Its totient is φ = 796884480.

The previous prime is 2453943241. The next prime is 2453943287. The reversal of 2453943264 is 4623493542.

It is an interprime number because it is at equal distance from previous prime (2453943241) and next prime (2453943287).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×2453943264³ (a number of 29 digits) contains 333 as substring.

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, 3025419 + ... + 3026229.

It is an arithmetic number, because the mean of its divisors is an integer number (68838924).

Almost surely, 2^2453943264 is an apocalyptic number.

2453943264 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 2453943264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3304268352).

2453943264 is an abundant number, since it is smaller than the sum of its proper divisors (4154593440).

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

2453943264 is a wasteful number, since it uses less digits than its factorization.

2453943264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600 (or 1592 counting only the distinct ones).

The product of its digits is 622080, while the sum is 42.

The square root of 2453943264 is about 49537.2916498268. The cubic root of 2453943264 is about 1348.8226157083.

The spelling of 2453943264 in words is "two billion, four hundred fifty-three million, nine hundred forty-three thousand, two hundred sixty-four".