2462490720 has 240 divisors, whose sum is σ = 8736689808. Its totient is φ = 653184000.

The previous prime is 2462490713. The next prime is 2462490721. The reversal of 2462490720 is 270942642.

2462490720 is a `hidden beast` number, since 2 + 4 + 624 + 9 + 0 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×2462490720³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2462490721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3252582 + ... + 3253338.

Almost surely, 2^2462490720 is an apocalyptic number.

2462490720 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 2462490720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4368344904).

2462490720 is an abundant number, since it is smaller than the sum of its proper divisors (6274199088).

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

2462490720 is a wasteful number, since it uses less digits than its factorization.

2462490720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2462490720 is about 49623.4895991807. The cubic root of 2462490720 is about 1350.3868520972.

The spelling of 2462490720 in words is "two billion, four hundred sixty-two million, four hundred ninety thousand, seven hundred twenty".