2452680 has 80 divisors (see below), whose sum is σ = 8254620. Its totient is φ = 653184.

The previous prime is 2452679. The next prime is 2452687. The reversal of 2452680 is 862542.

It can be written as a sum of positive squares in 2 ways, for example, as 2452356 + 324 = 1566^2 + 18^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2452687) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2862 + ... + 3618.

2^2452680 is an apocalyptic number.

2452680 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 2452680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4127310).

2452680 is an abundant number, since it is smaller than the sum of its proper divisors (5801940).

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

2452680 is a wasteful number, since it uses less digits than its factorization.

2452680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2452680 is about 1566.1034448592. The cubic root of 2452680 is about 134.8591122782.

The spelling of 2452680 in words is "two million, four hundred fifty-two thousand, six hundred eighty".