2445074707680 has 576 divisors, whose sum is σ = 9392757506496. Its totient is φ = 574046208000.

The previous prime is 2445074707679. The next prime is 2445074707681. The reversal of 2445074707680 is 867074705442.

2445074707680 is a `hidden beast` number, since 2 + 4 + 4 + 507 + 4 + 70 + 7 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2445074707679) and next prime (2445074707681).

It is a super-2 number, since 2×2445074707680² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2445074707681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88959540 + ... + 88987020.

It is an arithmetic number, because the mean of its divisors is an integer number (16306870671).

Almost surely, 2^{2445074707680} is an apocalyptic number.

2445074707680 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 2445074707680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4696378753248).

2445074707680 is an abundant number, since it is smaller than the sum of its proper divisors (6947682798816).

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

2445074707680 is a wasteful number, since it uses less digits than its factorization.

2445074707680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27691 (or 27680 counting only the distinct ones).

The product of its (nonzero) digits is 10536960, while the sum is 54.

The spelling of 2445074707680 in words is "two trillion, four hundred forty-five billion, seventy-four million, seven hundred seven thousand, six hundred eighty".