2481950268 has 192 divisors, whose sum is σ = 7709184000. Its totient is φ = 675537408.

The previous prime is 2481950257. The next prime is 2481950323. The reversal of 2481950268 is 8620591842.

2481950268 is a `hidden beast` number, since 2 + 4 + 81 + 9 + 502 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1731280 + ... + 1732712.

It is an arithmetic number, because the mean of its divisors is an integer number (40152000).

Almost surely, 2^2481950268 is an apocalyptic number.

2481950268 is a gapful number since it is divisible by the number (28) 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 2481950268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3854592000).

2481950268 is an abundant number, since it is smaller than the sum of its proper divisors (5227233732).

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

2481950268 is a wasteful number, since it uses less digits than its factorization.

2481950268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 2481950268 is about 49819.1757057461. The cubic root of 2481950268 is about 1353.9346151335.

The spelling of 2481950268 in words is "two billion, four hundred eighty-one million, nine hundred fifty thousand, two hundred sixty-eight".