2471287392 has 288 divisors, whose sum is σ = 8300335680. Its totient is φ = 682905600.

The previous prime is 2471287373. The next prime is 2471287397. The reversal of 2471287392 is 2937821742.

2471287392 is a `hidden beast` number, since 2 + 471 + 28 + 73 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2471287392² = 12214522747716323328, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2471287397) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10791534 + ... + 10791762.

It is an arithmetic number, because the mean of its divisors is an integer number (28820610).

Almost surely, 2^2471287392 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 2471287392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4150167840).

2471287392 is an abundant number, since it is smaller than the sum of its proper divisors (5829048288).

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

2471287392 is a wasteful number, since it uses less digits than its factorization.

2471287392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 395 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 2471287392 is about 49712.0447376690. The cubic root of 2471287392 is about 1351.9929215460.

The spelling of 2471287392 in words is "two billion, four hundred seventy-one million, two hundred eighty-seven thousand, three hundred ninety-two".