2492945280 has 384 divisors, whose sum is σ = 10419814080. Its totient is φ = 536150016.

The previous prime is 2492945267. The next prime is 2492945311. The reversal of 2492945280 is 825492942.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

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, 683622 + ... + 687258.

Almost surely, 2^2492945280 is an apocalyptic number.

2492945280 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 2492945280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5209907040).

2492945280 is an abundant number, since it is smaller than the sum of its proper divisors (7926868800).

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

2492945280 is a wasteful number, since it uses less digits than its factorization.

2492945280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3686 (or 3671 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2492945280 is about 49929.4029605803. The cubic root of 2492945280 is about 1355.9309751588.

The spelling of 2492945280 in words is "two billion, four hundred ninety-two million, nine hundred forty-five thousand, two hundred eighty".