2463347040 has 576 divisors, whose sum is σ = 10000101888. Its totient is φ = 498769920.

The previous prime is 2463347009. The next prime is 2463347053. The reversal of 2463347040 is 407433642.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 2463346992 and 2463347010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29678839 + ... + 29678921.

It is an arithmetic number, because the mean of its divisors is an integer number (17361288).

Almost surely, 2^2463347040 is an apocalyptic number.

2463347040 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 2463347040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5000050944).

2463347040 is an abundant number, since it is smaller than the sum of its proper divisors (7536754848).

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

2463347040 is a wasteful number, since it uses less digits than its factorization.

2463347040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 33.

The square root of 2463347040 is about 49632.1170211386. The cubic root of 2463347040 is about 1350.5433642613.

The spelling of 2463347040 in words is "two billion, four hundred sixty-three million, three hundred forty-seven thousand, forty".