2927242752 has 480 divisors, whose sum is σ = 10076140800. Its totient is φ = 749371392.

The previous prime is 2927242751. The next prime is 2927242777. The reversal of 2927242752 is 2572427292.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2927242751) 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, 32890324 + ... + 32890412.

It is an arithmetic number, because the mean of its divisors is an integer number (20991960).

Almost surely, 2^2927242752 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 2927242752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5038070400).

2927242752 is an abundant number, since it is smaller than the sum of its proper divisors (7148898048).

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

2927242752 is a wasteful number, since it uses less digits than its factorization.

2927242752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 143 counting only the distinct ones).

The product of its digits is 282240, while the sum is 42.

The square root of 2927242752 is about 54103.9994085465. Note that the first 3 decimals coincide. The cubic root of 2927242752 is about 1430.4946781567.

The spelling of 2927242752 in words is "two billion, nine hundred twenty-seven million, two hundred forty-two thousand, seven hundred fifty-two".