2997960 has 128 divisors (see below), whose sum is σ = 10644480. Its totient is φ = 661248.

The previous prime is 2997959. The next prime is 2997977. The reversal of 2997960 is 697992.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36079 + ... + 36161.

It is an arithmetic number, because the mean of its divisors is an integer number (83160).

2^2997960 is an apocalyptic number.

2997960 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 2997960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5322240).

2997960 is an abundant number, since it is smaller than the sum of its proper divisors (7646520).

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

2997960 is a wasteful number, since it uses less digits than its factorization.

2997960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 42.

The square root of 2997960 is about 1731.4618101477. The cubic root of 2997960 is about 144.1922586277.

Subtracting from 2997960 its reverse (697992), we obtain a cube (2299968 = 132³).

The spelling of 2997960 in words is "two million, nine hundred ninety-seven thousand, nine hundred sixty".