2780120 has 32 divisors (see below), whose sum is σ = 7149600. Its totient is φ = 953088.

The previous prime is 2780119. The next prime is 2780123. The reversal of 2780120 is 210872.

2780120 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

2780120 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 2780092 and 2780101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2780123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4685 + ... + 5244.

It is an arithmetic number, because the mean of its divisors is an integer number (223425).

2^2780120 is an apocalyptic number.

2780120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2780120 is an abundant number, since it is smaller than the sum of its proper divisors (4369480).

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

2780120 is a wasteful number, since it uses less digits than its factorization.

2780120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9947 (or 9943 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 2780120 is about 1667.3691852736. The cubic root of 2780120 is about 140.6116099185.

Adding to 2780120 its reverse (210872), we get a palindrome (2990992).

The spelling of 2780120 in words is "two million, seven hundred eighty thousand, one hundred twenty".