2460749760 has 896 divisors, whose sum is σ = 10885017600. Its totient is φ = 510935040.

The previous prime is 2460749741. The next prime is 2460749761. The reversal of 2460749760 is 679470642.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2460749761) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 40340130 + ... + 40340190.

Almost surely, 2^2460749760 is an apocalyptic number.

2460749760 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 2460749760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5442508800).

2460749760 is an abundant number, since it is smaller than the sum of its proper divisors (8424267840).

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

2460749760 is a wasteful number, since it uses less digits than its factorization.

2460749760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 2460749760 is about 49605.9448050332. The cubic root of 2460749760 is about 1350.0685397300.

The spelling of 2460749760 in words is "two billion, four hundred sixty million, seven hundred forty-nine thousand, seven hundred sixty".