2983668480 has 576 divisors, whose sum is σ = 11847024000. Its totient is φ = 706019328.

The previous prime is 2983668449. The next prime is 2983668503. The reversal of 2983668480 is 848663892.

2983668480 is a `hidden beast` number, since 29 + 83 + 6 + 68 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 13029006 + ... + 13029234.

It is an arithmetic number, because the mean of its divisors is an integer number (20567750).

Almost surely, 2^2983668480 is an apocalyptic number.

2983668480 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 2983668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5923512000).

2983668480 is an abundant number, since it is smaller than the sum of its proper divisors (8863355520).

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

2983668480 is a wasteful number, since it uses less digits than its factorization.

2983668480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The square root of 2983668480 is about 54622.9665983092. The cubic root of 2983668480 is about 1439.6276815215.

The spelling of 2983668480 in words is "two billion, nine hundred eighty-three million, six hundred sixty-eight thousand, four hundred eighty".