5751282240 has 672 divisors, whose sum is σ = 23365480320. Its totient is φ = 1282867200.

The previous prime is 5751282217. The next prime is 5751282269. The reversal of 5751282240 is 422821575.

It is a happy number.

5751282240 is a `hidden beast` number, since 575 + 1 + 2 + 82 + 2 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5751282195 and 5751282204.

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, 31774950 + ... + 31775130.

It is an arithmetic number, because the mean of its divisors is an integer number (34770060).

Almost surely, 2^5751282240 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 5751282240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11682740160).

5751282240 is an abundant number, since it is smaller than the sum of its proper divisors (17614198080).

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

5751282240 is a wasteful number, since it uses less digits than its factorization.

5751282240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 5751282240 is about 75837.2088093965. The cubic root of 5751282240 is about 1791.6570945177.

The spelling of 5751282240 in words is "five billion, seven hundred fifty-one million, two hundred eighty-two thousand, two hundred forty".