2426480280 has 256 divisors, whose sum is σ = 9441792000. Its totient is φ = 542744064.

The previous prime is 2426480279. The next prime is 2426480281. The reversal of 2426480280 is 820846242.

It is a happy number.

2426480280 is a `hidden beast` number, since 2 + 4 + 2 + 648 + 0 + 2 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2426480279) and next prime (2426480281).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2426480281) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 351906 + ... + 358734.

It is an arithmetic number, because the mean of its divisors is an integer number (36882000).

Almost surely, 2^2426480280 is an apocalyptic number.

2426480280 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 2426480280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4720896000).

2426480280 is an abundant number, since it is smaller than the sum of its proper divisors (7015311720).

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

2426480280 is a wasteful number, since it uses less digits than its factorization.

2426480280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6903 (or 6893 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 2426480280 is about 49259.3166822277. The cubic root of 2426480280 is about 1343.7720037356.

The spelling of 2426480280 in words is "two billion, four hundred twenty-six million, four hundred eighty thousand, two hundred eighty".