2642880 has 56 divisors (see below), whose sum is σ = 8394192. Its totient is φ = 704512.

The previous prime is 2642879. The next prime is 2642891. The reversal of 2642880 is 882462.

It is a happy number.

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 a congruent number.

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, 417 + ... + 2336.

2^2642880 is an apocalyptic number.

2642880 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 2642880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4197096).

2642880 is an abundant number, since it is smaller than the sum of its proper divisors (5751312).

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

2642880 is a wasteful number, since it uses less digits than its factorization.

2642880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2773 (or 2763 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 2642880 is about 1625.6936980871. The cubic root of 2642880 is about 138.2587039593.

The spelling of 2642880 in words is "two million, six hundred forty-two thousand, eight hundred eighty".