2453880 has 144 divisors (see below), whose sum is σ = 8762040. Its totient is φ = 549120.

The previous prime is 2453873. The next prime is 2453887. The reversal of 2453880 is 883542.

2453880 is digitally balanced in base 2, 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 (2453873) and next prime (2453887).

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 (2453887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 188754 + ... + 188766.

2^2453880 is an apocalyptic number.

2453880 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 2453880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4381020).

2453880 is an abundant number, since it is smaller than the sum of its proper divisors (6308160).

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

2453880 is a wasteful number, since it uses less digits than its factorization.

2453880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 2453880 is about 1566.4865144648. The cubic root of 2453880 is about 134.8811024480.

Multiplying 2453880 by its sum of digits (30), we get a square (73616400 = 8580²).

2453880 divided by its sum of digits (30) gives a square (81796 = 286²).

Multiplying 2453880 by its product of nonzero digits (7680), we get a square (18845798400 = 137280²).

It can be divided in two parts, 2453 and 880, that added together give a palindrome (3333).

The spelling of 2453880 in words is "two million, four hundred fifty-three thousand, eight hundred eighty".