2962560 has 64 divisors (see below), whose sum is σ = 9449280. Its totient is φ = 789504.

The previous prime is 2962549. The next prime is 2962591. The reversal of 2962560 is 652692.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1149 + ... + 2691.

It is an arithmetic number, because the mean of its divisors is an integer number (147645).

2^2962560 is an apocalyptic number.

2962560 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 2962560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4724640).

2962560 is an abundant number, since it is smaller than the sum of its proper divisors (6486720).

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

2962560 is a wasteful number, since it uses less digits than its factorization.

2962560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 2962560 is about 1721.2088775044. The cubic root of 2962560 is about 143.6224678599.

The spelling of 2962560 in words is "two million, nine hundred sixty-two thousand, five hundred sixty".