2959880 has 96 divisors (see below), whose sum is σ = 8579520. Its totient is φ = 892800.

The previous prime is 2959867. The next prime is 2959937. The reversal of 2959880 is 889592.

2959880 = T₁₈₃ + T₁₈₄ + ... + T₂₈₇.

It is a happy number.

It is a super-2 number, since 2×2959880² = 17521779228800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95465 + ... + 95495.

It is an arithmetic number, because the mean of its divisors is an integer number (89370).

2^2959880 is an apocalyptic number.

2959880 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 2959880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4289760).

2959880 is an abundant number, since it is smaller than the sum of its proper divisors (5619640).

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

2959880 is a wasteful number, since it uses less digits than its factorization.

2959880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 41.

The square root of 2959880 is about 1720.4301787634. The cubic root of 2959880 is about 143.5791467302.

The spelling of 2959880 in words is "two million, nine hundred fifty-nine thousand, eight hundred eighty".