3002414294880 has 3456 divisors, whose sum is σ = 14789339873280. Its totient is φ = 563305881600.

The previous prime is 3002414294863. The next prime is 3002414294923. The reversal of 3002414294880 is 884924142003.

3002414294880 is a `hidden beast` number, since 3 + 0 + 0 + 24 + 142 + 9 + 488 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 23641057377 + ... + 23641057503.

It is an arithmetic number, because the mean of its divisors is an integer number (4279322880).

Almost surely, 2^{3002414294880} is an apocalyptic number.

3002414294880 is a gapful number since it is divisible by the number (30) 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 3002414294880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7394669936640).

3002414294880 is an abundant number, since it is smaller than the sum of its proper divisors (11786925578400).

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

3002414294880 is a wasteful number, since it uses less digits than its factorization.

3002414294880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 3002414294880 in words is "three trillion, two billion, four hundred fourteen million, two hundred ninety-four thousand, eight hundred eighty".