2467249041312 has 576 divisors, whose sum is σ = 8148475625472. Its totient is φ = 701206272000.

The previous prime is 2467249041289. The next prime is 2467249041337. The reversal of 2467249041312 is 2131409427642.

2467249041312 is a `hidden beast` number, since 2 + 46 + 72 + 490 + 41 + 3 + 12 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 432014137 + ... + 432019847.

It is an arithmetic number, because the mean of its divisors is an integer number (14146659072).

Almost surely, 2^{2467249041312} is an apocalyptic number.

2467249041312 is a gapful number since it is divisible by the number (22) 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 2467249041312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4074237812736).

2467249041312 is an abundant number, since it is smaller than the sum of its proper divisors (5681226584160).

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

2467249041312 is a wasteful number, since it uses less digits than its factorization.

2467249041312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5905 (or 5894 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 2467249041312 in words is "two trillion, four hundred sixty-seven billion, two hundred forty-nine million, forty-one thousand, three hundred twelve".