2772480 has 120 divisors (see below), whose sum is σ = 9354312. Its totient is φ = 700416.

The previous prime is 2772457. The next prime is 2772481. The reversal of 2772480 is 842772.

It is a tau number, because it is divible by the number of its divisors (120).

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 (2772481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 145911 + ... + 145929.

2^2772480 is an apocalyptic number.

2772480 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 2772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4677156).

2772480 is an abundant number, since it is smaller than the sum of its proper divisors (6581832).

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

2772480 is an equidigital number, since it uses as much as digits as its factorization.

2772480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 2772480 is about 1665.0765748157. The cubic root of 2772480 is about 140.4826876335.

Multiplying 2772480 by its sum of digits (30), we get a square (83174400 = 9120²).

2772480 divided by its sum of digits (30) gives a square (92416 = 304²).

The spelling of 2772480 in words is "two million, seven hundred seventy-two thousand, four hundred eighty".