2468937744 has 240 divisors, whose sum is σ = 9005173632. Its totient is φ = 612790272.

The previous prime is 2468937719. The next prime is 2468937749. The reversal of 2468937744 is 4477398642.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2468937749) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 217227 + ... + 228309.

Almost surely, 2^2468937744 is an apocalyptic number.

2468937744 is a gapful number since it is divisible by the number (24) 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 2468937744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4502586816).

2468937744 is an abundant number, since it is smaller than the sum of its proper divisors (6536235888).

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

2468937744 is a wasteful number, since it uses less digits than its factorization.

2468937744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11134 (or 11125 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The square root of 2468937744 is about 49688.4065351265. The cubic root of 2468937744 is about 1351.5643035459.

The spelling of 2468937744 in words is "two billion, four hundred sixty-eight million, nine hundred thirty-seven thousand, seven hundred forty-four".