2412505027296 has 768 divisors, whose sum is σ = 8994686238720. Its totient is φ = 611950049280.

The previous prime is 2412505027253. The next prime is 2412505027297. The reversal of 2412505027296 is 6927205052142.

2412505027296 is a `hidden beast` number, since 2 + 4 + 1 + 2 + 50 + 502 + 7 + 2 + 96 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2412505027297) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 407033485 + ... + 407039411.

It is an arithmetic number, because the mean of its divisors is an integer number (11711831040).

Almost surely, 2^{2412505027296} is an apocalyptic number.

2412505027296 is a gapful number since it is divisible by the number (26) 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 2412505027296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4497343119360).

2412505027296 is an abundant number, since it is smaller than the sum of its proper divisors (6582181211424).

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

2412505027296 is a wasteful number, since it uses less digits than its factorization.

2412505027296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6164 (or 6150 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 2412505027296 in words is "two trillion, four hundred twelve billion, five hundred five million, twenty-seven thousand, two hundred ninety-six".