2412577440 has 1152 divisors, whose sum is σ = 11613611520. Its totient is φ = 453869568.

The previous prime is 2412577429. The next prime is 2412577463. The reversal of 2412577440 is 447752142.

2412577440 is a `hidden beast` number, since 2 + 41 + 2 + 577 + 4 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2412577395 and 2412577404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 126977751 + ... + 126977769.

It is an arithmetic number, because the mean of its divisors is an integer number (10081260).

Almost surely, 2^2412577440 is an apocalyptic number.

2412577440 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 2412577440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5806805760).

2412577440 is an abundant number, since it is smaller than the sum of its proper divisors (9201034080).

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

2412577440 is a wasteful number, since it uses less digits than its factorization.

2412577440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

The square root of 2412577440 is about 49117.9950730890. The cubic root of 2412577440 is about 1341.2006466230.

The spelling of 2412577440 in words is "two billion, four hundred twelve million, five hundred seventy-seven thousand, four hundred forty".