2406750252480 has 1120 divisors, whose sum is σ = 10445350671360. Its totient is φ = 513768407040.

The previous prime is 2406750252463. The next prime is 2406750252497. The reversal of 2406750252480 is 842520576042.

2406750252480 is a `hidden beast` number, since 2 + 4 + 0 + 67 + 502 + 5 + 2 + 4 + 80 = 666.

2406750252480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2406750252463) and next prime (2406750252497).

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 244757644 + ... + 244767476.

Almost surely, 2^{2406750252480} is an apocalyptic number.

2406750252480 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 2406750252480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5222675335680).

2406750252480 is an abundant number, since it is smaller than the sum of its proper divisors (8038600418880).

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

2406750252480 is a wasteful number, since it uses less digits than its factorization.

2406750252480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9959 (or 9940 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 2406750252480 in words is "two trillion, four hundred six billion, seven hundred fifty million, two hundred fifty-two thousand, four hundred eighty".