2454560 has 72 divisors (see below), whose sum is σ = 6271020. Its totient is φ = 906752.

The previous prime is 2454539. The next prime is 2454587. The reversal of 2454560 is 654542.

It can be written as a sum of positive squares in 2 ways, for example, as 2446096 + 8464 = 1564^2 + 92^2 .

It is a super-3 number, since 3×2454560³ = 44365176383336448000, which contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84626 + ... + 84654.

2^2454560 is an apocalyptic number.

2454560 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 2454560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3135510).

2454560 is an abundant number, since it is smaller than the sum of its proper divisors (3816460).

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

2454560 is a wasteful number, since it uses less digits than its factorization.

2454560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 2454560 is about 1566.7035456652. The cubic root of 2454560 is about 134.8935603621.

The spelling of 2454560 in words is "two million, four hundred fifty-four thousand, five hundred sixty".