2401151280 has 320 divisors, whose sum is σ = 8528025600. Its totient is φ = 553512960.

The previous prime is 2401151279. The next prime is 2401151323. The reversal of 2401151280 is 821511042.

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 2401151280.

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, 6048042 + ... + 6048438.

It is an arithmetic number, because the mean of its divisors is an integer number (26650080).

Almost surely, 2^2401151280 is an apocalyptic number.

2401151280 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 2401151280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4264012800).

2401151280 is an abundant number, since it is smaller than the sum of its proper divisors (6126874320).

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

2401151280 is a wasteful number, since it uses less digits than its factorization.

2401151280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 2401151280 is about 49001.5436491546. The cubic root of 2401151280 is about 1339.0799505988.

The spelling of 2401151280 in words is "two billion, four hundred one million, one hundred fifty-one thousand, two hundred eighty".