2400641280 has 144 divisors (see below), whose sum is σ = 8519064960. Its totient is φ = 640161792.

The previous prime is 2400641267. The next prime is 2400641297. The reversal of 2400641280 is 821460042.

2400641280 is a `hidden beast` number, since 240 + 0 + 6 + 412 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 15 ways as a sum of consecutive naturals, for example, 172 + ... + 69291.

Almost surely, 2^2400641280 is an apocalyptic number.

2400641280 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 2400641280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4259532480).

2400641280 is an abundant number, since it is smaller than the sum of its proper divisors (6118423680).

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

2400641280 is an equidigital number, since it uses as much as digits as its factorization.

2400641280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69493 (or 69473 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2400641280 is about 48996.3394551062. The cubic root of 2400641280 is about 1338.9851378677.

The spelling of 2400641280 in words is "two billion, four hundred million, six hundred forty-one thousand, two hundred eighty".