2403648000 has 640 divisors, whose sum is σ = 9651882240. Its totient is φ = 586137600.

The previous prime is 2403647989. The next prime is 2403648011. The reversal of 2403648000 is 8463042.

It is an interprime number because it is at equal distance from previous prime (2403647989) and next prime (2403648011).

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22463947 + ... + 22464053.

It is an arithmetic number, because the mean of its divisors is an integer number (15081066).

Almost surely, 2^2403648000 is an apocalyptic number.

2403648000 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 2403648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4825941120).

2403648000 is an abundant number, since it is smaller than the sum of its proper divisors (7248234240).

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

2403648000 is a wasteful number, since it uses less digits than its factorization.

2403648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 130 counting only the distinct ones).

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

The square root of 2403648000 is about 49027.0129622436. The cubic root of 2403648000 is about 1339.5439154753.

The spelling of 2403648000 in words is "two billion, four hundred three million, six hundred forty-eight thousand".