2905974000 has 480 divisors, whose sum is σ = 11089915200. Its totient is φ = 706406400.

The previous prime is 2905973963. The next prime is 2905974041. The reversal of 2905974000 is 4795092.

2905974000 is a `hidden beast` number, since 29 + 0 + 597 + 40 + 0 + 0 = 666.

2905974000 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 Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 9917854 + ... + 9918146.

It is an arithmetic number, because the mean of its divisors is an integer number (23103990).

Almost surely, 2^2905974000 is an apocalyptic number.

2905974000 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 2905974000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5544957600).

2905974000 is an abundant number, since it is smaller than the sum of its proper divisors (8183941200).

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

2905974000 is a wasteful number, since it uses less digits than its factorization.

2905974000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 2905974000 is about 53907.0867326366. The cubic root of 2905974000 is about 1427.0216918101.

The spelling of 2905974000 in words is "two billion, nine hundred five million, nine hundred seventy-four thousand".