2959989120 has 576 divisors, whose sum is σ = 11681953920. Its totient is φ = 689356800.

The previous prime is 2959989079. The next prime is 2959989167. The reversal of 2959989120 is 219899592.

2959989120 is a `hidden beast` number, since 29 + 599 + 8 + 9 + 1 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21605692 + ... + 21605828.

It is an arithmetic number, because the mean of its divisors is an integer number (20281170).

Almost surely, 2^2959989120 is an apocalyptic number.

2959989120 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 2959989120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5840976960).

2959989120 is an abundant number, since it is smaller than the sum of its proper divisors (8721964800).

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

2959989120 is a wasteful number, since it uses less digits than its factorization.

2959989120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 54.

The square root of 2959989120 is about 54405.7820456613. The cubic root of 2959989120 is about 1435.8091112198.

The spelling of 2959989120 in words is "two billion, nine hundred fifty-nine million, nine hundred eighty-nine thousand, one hundred twenty".