2302080480 has 384 divisors, whose sum is σ = 9275212800. Its totient is φ = 522381312.

The previous prime is 2302080479. The next prime is 2302080509. The reversal of 2302080480 is 840802032.

2302080480 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8134419 + ... + 8134701.

It is an arithmetic number, because the mean of its divisors is an integer number (24154200).

Almost surely, 2^2302080480 is an apocalyptic number.

2302080480 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 2302080480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4637606400).

2302080480 is an abundant number, since it is smaller than the sum of its proper divisors (6973132320).

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

2302080480 is a wasteful number, since it uses less digits than its factorization.

2302080480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2302080480 is about 47980.0008336807. Note that the first 3 decimals coincide. The cubic root of 2302080480 is about 1320.4040085651.

The spelling of 2302080480 in words is "two billion, three hundred two million, eighty thousand, four hundred eighty".