2412694056240 has 320 divisors, whose sum is σ = 9014991753600. Its totient is φ = 589557989376.

The previous prime is 2412694056217. The next prime is 2412694056391. The reversal of 2412694056240 is 426504962142.

It is a happy number.

2412694056240 is a `hidden beast` number, since 2 + 4 + 1 + 2 + 6 + 9 + 40 + 562 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3533376 + ... + 4160544.

It is an arithmetic number, because the mean of its divisors is an integer number (28171849230).

Almost surely, 2^{2412694056240} is an apocalyptic number.

2412694056240 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 2412694056240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4507495876800).

2412694056240 is an abundant number, since it is smaller than the sum of its proper divisors (6602297697360).

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

2412694056240 is a wasteful number, since it uses less digits than its factorization.

2412694056240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627341 (or 627329 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 2412694056240 in words is "two trillion, four hundred twelve billion, six hundred ninety-four million, fifty-six thousand, two hundred forty".