2403260640 has 288 divisors, whose sum is σ = 9008659296. Its totient is φ = 578580480.

The previous prime is 2403260617. The next prime is 2403260677. The reversal of 2403260640 is 460623042.

2403260640 is a `hidden beast` number, since 24 + 0 + 32 + 606 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2739882 + ... + 2740758.

It is an arithmetic number, because the mean of its divisors is an integer number (31280067).

Almost surely, 2^2403260640 is an apocalyptic number.

2403260640 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 2403260640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4504329648).

2403260640 is an abundant number, since it is smaller than the sum of its proper divisors (6605398656).

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

2403260640 is a wasteful number, since it uses less digits than its factorization.

2403260640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 2403260640 is about 49023.0623278473. The cubic root of 2403260640 is about 1339.4719535231.

Adding to 2403260640 its reverse (460623042), we get a palindrome (2863883682).

The spelling of 2403260640 in words is "two billion, four hundred three million, two hundred sixty thousand, six hundred forty".