2992560 has 80 divisors (see below), whose sum is σ = 9555936. Its totient is φ = 774144.

The previous prime is 2992559. The next prime is 2992567. The reversal of 2992560 is 652992.

2992560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2992567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8712 + ... + 9048.

2^2992560 is an apocalyptic number.

2992560 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 2992560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4777968).

2992560 is an abundant number, since it is smaller than the sum of its proper divisors (6563376).

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

2992560 is a wasteful number, since it uses less digits than its factorization.

2992560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 2992560 is about 1729.9017313131. The cubic root of 2992560 is about 144.1056323701.

The spelling of 2992560 in words is "two million, nine hundred ninety-two thousand, five hundred sixty".