2802248464000 has 128 divisors (see below), whose sum is σ = 7007369363280. Its totient is φ = 1114419097600.

The previous prime is 2802248463961. The next prime is 2802248464003. The reversal of 2802248464000 is 4648422082.

It can be written as a sum of positive squares in 8 ways, for example, as 722676810816 + 2079571653184 = 850104^2 + 1442072^2 .

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 (40).

It is not an unprimeable number, because it can be changed into a prime (2802248464003) 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, 2261814 + ... + 3274186.

Almost surely, 2^{2802248464000} is an apocalyptic number.

2802248464000 is a gapful number since it is divisible by the number (20) 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 2802248464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3503684681640).

2802248464000 is an abundant number, since it is smaller than the sum of its proper divisors (4205120899280).

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

2802248464000 is a wasteful number, since it uses less digits than its factorization.

2802248464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012575 (or 1012553 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 40.

The spelling of 2802248464000 in words is "two trillion, eight hundred two billion, two hundred forty-eight million, four hundred sixty-four thousand".