2451840 has 64 divisors (see below), whose sum is σ = 7821360. Its totient is φ = 653312.

The previous prime is 2451811. The next prime is 2451847. The reversal of 2451840 is 481542.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2451840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2451847) 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, 1282 + ... + 2558.

2^2451840 is an apocalyptic number.

2451840 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 2451840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3910680).

2451840 is an abundant number, since it is smaller than the sum of its proper divisors (5369520).

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

2451840 is a wasteful number, since it uses less digits than its factorization.

2451840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 2451840 is about 1565.8352403749. The cubic root of 2451840 is about 134.8437148912.

The spelling of 2451840 in words is "two million, four hundred fifty-one thousand, eight hundred forty".