2894058720 has 960 divisors, whose sum is σ = 12996910080. Its totient is φ = 591224832.

The previous prime is 2894058649. The next prime is 2894058721. The reversal of 2894058720 is 278504982.

2894058720 is a `hidden beast` number, since 2 + 8 + 9 + 40 + 587 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2894058721) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 39644604 + ... + 39644676.

It is an arithmetic number, because the mean of its divisors is an integer number (13538448).

Almost surely, 2^2894058720 is an apocalyptic number.

2894058720 is a gapful number since it is divisible by the number (20) 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 2894058720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6498455040).

2894058720 is an abundant number, since it is smaller than the sum of its proper divisors (10102851360).

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

2894058720 is a wasteful number, since it uses less digits than its factorization.

2894058720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 2894058720 is about 53796.4563888738. The cubic root of 2894058720 is about 1425.0686282737.

The spelling of 2894058720 in words is "two billion, eight hundred ninety-four million, fifty-eight thousand, seven hundred twenty".