2406281776272 has 120 divisors (see below), whose sum is σ = 7349202308448. Its totient is φ = 728903232000.

The previous prime is 2406281776271. The next prime is 2406281776277. The reversal of 2406281776272 is 2726771826042.

2406281776272 is a `hidden beast` number, since 2 + 4 + 0 + 6 + 2 + 8 + 1 + 7 + 7 + 627 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (2406281776271) 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, 3966772 + ... + 4532972.

Almost surely, 2^{2406281776272} is an apocalyptic number.

2406281776272 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 2406281776272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3674601154224).

2406281776272 is an abundant number, since it is smaller than the sum of its proper divisors (4942920532176).

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

2406281776272 is a wasteful number, since it uses less digits than its factorization.

2406281776272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568909 (or 568900 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 2406281776272 in words is "two trillion, four hundred six billion, two hundred eighty-one million, seven hundred seventy-six thousand, two hundred seventy-two".