2412942336 has 264 divisors, whose sum is σ = 8057385024. Its totient is φ = 681246720.

The previous prime is 2412942331. The next prime is 2412942349. The reversal of 2412942336 is 6332492142.

2412942336 is a `hidden beast` number, since 2 + 412 + 9 + 4 + 233 + 6 = 666.

It is a super-2 number, since 2×2412942336² = 11644581433722273792, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2412942336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2412942331) 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, 7289691 + ... + 7290021.

Almost surely, 2^2412942336 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 2412942336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4028692512).

2412942336 is an abundant number, since it is smaller than the sum of its proper divisors (5644442688).

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

2412942336 is a wasteful number, since it uses less digits than its factorization.

2412942336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 456 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 2412942336 is about 49121.7094165095. The cubic root of 2412942336 is about 1341.2682609058.

The spelling of 2412942336 in words is "two billion, four hundred twelve million, nine hundred forty-two thousand, three hundred thirty-six".