2480435712 has 240 divisors, whose sum is σ = 7730442720. Its totient is φ = 763084800.

The previous prime is 2480435707. The next prime is 2480435717. The reversal of 2480435712 is 2175340842.

It is a happy number.

2480435712 is a `hidden beast` number, since 2 + 4 + 80 + 4 + 3 + 571 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2480435707) and next prime (2480435717).

It is a super-2 number, since 2×2480435712² = 12305122642729893888, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (2480435717) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3589287 + ... + 3589977.

It is an arithmetic number, because the mean of its divisors is an integer number (32210178).

Almost surely, 2^2480435712 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 2480435712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3865221360).

2480435712 is an abundant number, since it is smaller than the sum of its proper divisors (5250007008).

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

2480435712 is a wasteful number, since it uses less digits than its factorization.

2480435712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2480435712 is about 49803.9728535787. The cubic root of 2480435712 is about 1353.6591560754.

It can be divided in two parts, 24804 and 35712, that added together give a square (60516 = 246²).

The spelling of 2480435712 in words is "two billion, four hundred eighty million, four hundred thirty-five thousand, seven hundred twelve".