2457280 has 56 divisors (see below), whose sum is σ = 6693408. Its totient is φ = 841728.

The previous prime is 2457241. The next prime is 2457283. The reversal of 2457280 is 827542.

2457280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a d-powerful number, because it can be written as 2¹⁶ + 4² + 5⁶ + 7⁵ + 2²¹ + 8⁶ + 0 .

It is not an unprimeable number, because it can be changed into a prime (2457283) 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 7 ways as a sum of consecutive naturals, for example, 1692 + ... + 2788.

2^2457280 is an apocalyptic number.

2457280 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 2457280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3346704).

2457280 is an abundant number, since it is smaller than the sum of its proper divisors (4236128).

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

2457280 is a wasteful number, since it uses less digits than its factorization.

2457280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 2457280 is about 1567.5713699861. The cubic root of 2457280 is about 134.9433690228.

The spelling of 2457280 in words is "two million, four hundred fifty-seven thousand, two hundred eighty".