2974261752 has 192 divisors, whose sum is σ = 10082741760. Its totient is φ = 769478400.

The previous prime is 2974261751. The next prime is 2974261769. The reversal of 2974261752 is 2571624792.

2974261752 is a `hidden beast` number, since 29 + 7 + 4 + 2 + 617 + 5 + 2 = 666.

2974261752 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2974261698 and 2974261707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2974261751) 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, 1623477 + ... + 1625307.

It is an arithmetic number, because the mean of its divisors is an integer number (52514280).

Almost surely, 2^2974261752 is an apocalyptic number.

2974261752 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 2974261752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5041370880).

2974261752 is an abundant number, since it is smaller than the sum of its proper divisors (7108480008).

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

2974261752 is a wasteful number, since it uses less digits than its factorization.

2974261752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2154 (or 2147 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 2974261752 is about 54536.7926449658. The cubic root of 2974261752 is about 1438.1131653309.

The spelling of 2974261752 in words is "two billion, nine hundred seventy-four million, two hundred sixty-one thousand, seven hundred fifty-two".