2977745472 has 168 divisors, whose sum is σ = 9221191616. Its totient is φ = 913296384.

The previous prime is 2977745461. The next prime is 2977745473. The reversal of 2977745472 is 2745477792.

2977745472 is a `hidden beast` number, since 2 + 97 + 7 + 7 + 4 + 547 + 2 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2977745473) 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, 4095573 + ... + 4096299.

Almost surely, 2^2977745472 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 2977745472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4610595808).

2977745472 is an abundant number, since it is smaller than the sum of its proper divisors (6243446144).

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

2977745472 is a wasteful number, since it uses less digits than its factorization.

2977745472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1292 counting only the distinct ones).

The product of its digits is 6914880, while the sum is 54.

The square root of 2977745472 is about 54568.7224699278. The cubic root of 2977745472 is about 1438.6744282862.

The spelling of 2977745472 in words is "two billion, nine hundred seventy-seven million, seven hundred forty-five thousand, four hundred seventy-two".