2790480 has 160 divisors (see below), whose sum is σ = 10856448. Its totient is φ = 576000.

The previous prime is 2790479. The next prime is 2790481. The reversal of 2790480 is 840972.

2790480 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2790479) and next prime (2790481).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2790481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18405 + ... + 18555.

2^2790480 is an apocalyptic number.

2790480 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 2790480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5428224).

2790480 is an abundant number, since it is smaller than the sum of its proper divisors (8065968).

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

2790480 is a wasteful number, since it uses less digits than its factorization.

2790480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 2790480 is about 1670.4729869112. The cubic root of 2790480 is about 140.7860544900.

The spelling of 2790480 in words is "two million, seven hundred ninety thousand, four hundred eighty".