2464698720 has 192 divisors, whose sum is σ = 8519696640. Its totient is φ = 593971200.

The previous prime is 2464698707. The next prime is 2464698727. The reversal of 2464698720 is 278964642.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2464698720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2464698727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 954391 + ... + 956969.

It is an arithmetic number, because the mean of its divisors is an integer number (44373420).

Almost surely, 2^2464698720 is an apocalyptic number.

2464698720 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 2464698720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4259848320).

2464698720 is an abundant number, since it is smaller than the sum of its proper divisors (6054997920).

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

2464698720 is a wasteful number, since it uses less digits than its factorization.

2464698720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2789 (or 2781 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The square root of 2464698720 is about 49645.7321428539. The cubic root of 2464698720 is about 1350.7903410550.

The spelling of 2464698720 in words is "two billion, four hundred sixty-four million, six hundred ninety-eight thousand, seven hundred twenty".