2463772416 has 144 divisors (see below), whose sum is σ = 7636253184. Its totient is φ = 690573312.

The previous prime is 2463772403. The next prime is 2463772417. The reversal of 2463772416 is 6142773642.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2463772417) 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 15 ways as a sum of consecutive naturals, for example, 280605 + ... + 289251.

It is an arithmetic number, because the mean of its divisors is an integer number (53029536).

Almost surely, 2^2463772416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2463772416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3818126592).

2463772416 is an abundant number, since it is smaller than the sum of its proper divisors (5172480768).

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

2463772416 is an equidigital number, since it uses as much as digits as its factorization.

2463772416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8726 (or 8712 counting only the distinct ones).

The product of its digits is 338688, while the sum is 42.

The square root of 2463772416 is about 49636.4021258592. The cubic root of 2463772416 is about 1350.6210980194.

The spelling of 2463772416 in words is "two billion, four hundred sixty-three million, seven hundred seventy-two thousand, four hundred sixteen".