2403008640 has 256 divisors, whose sum is σ = 8658576000. Its totient is φ = 629673984.

The previous prime is 2403008611. The next prime is 2403008681. The reversal of 2403008640 is 468003042.

2403008640 is a `hidden beast` number, since 240 + 300 + 86 + 40 = 666.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1018342 + ... + 1020698.

Almost surely, 2^2403008640 is an apocalyptic number.

2403008640 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 2403008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4329288000).

2403008640 is an abundant number, since it is smaller than the sum of its proper divisors (6255567360).

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

2403008640 is a wasteful number, since it uses less digits than its factorization.

2403008640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2444 (or 2426 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2403008640 is about 49020.4920415942. The cubic root of 2403008640 is about 1339.4251339750.

The spelling of 2403008640 in words is "two billion, four hundred three million, eight thousand, six hundred forty".