2409974280 has 192 divisors, whose sum is σ = 9193616640. Its totient is φ = 535942656.

The previous prime is 2409974267. The next prime is 2409974291. The reversal of 2409974280 is 824799042.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80317 + ... + 106163.

It is an arithmetic number, because the mean of its divisors is an integer number (47883420).

Almost surely, 2^2409974280 is an apocalyptic number.

2409974280 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 2409974280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596808320).

2409974280 is an abundant number, since it is smaller than the sum of its proper divisors (6783642360).

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

2409974280 is a wasteful number, since it uses less digits than its factorization.

2409974280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25908 (or 25901 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2409974280 is about 49091.4888753641. The cubic root of 2409974280 is about 1340.7180899057.

The spelling of 2409974280 in words is "two billion, four hundred nine million, nine hundred seventy-four thousand, two hundred eighty".