2509448760 has 576 divisors, whose sum is σ = 10576500480. Its totient is φ = 510935040.

The previous prime is 2509448749. The next prime is 2509448771. The reversal of 2509448760 is 678449052.

It is a happy number.

2509448760 is a `hidden beast` number, since 2 + 509 + 4 + 4 + 87 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (2509448749) and next prime (2509448771).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7108744 + ... + 7109096.

It is an arithmetic number, because the mean of its divisors is an integer number (18361980).

Almost surely, 2^2509448760 is an apocalyptic number.

2509448760 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 2509448760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5288250240).

2509448760 is an abundant number, since it is smaller than the sum of its proper divisors (8067051720).

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

2509448760 is a wasteful number, since it uses less digits than its factorization.

2509448760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2509448760 is about 50094.3984892523. The cubic root of 2509448760 is about 1358.9165173765.

The spelling of 2509448760 in words is "two billion, five hundred nine million, four hundred forty-eight thousand, seven hundred sixty".