2957834880 has 1536 divisors, whose sum is σ = 14970009600. Its totient is φ = 537477120.

The previous prime is 2957834839. The next prime is 2957834881. The reversal of 2957834880 is 884387592.

It is a happy number.

2957834880 is a `hidden beast` number, since 2 + 95 + 78 + 3 + 488 + 0 = 666.

It is a super-2 number, since 2×2957834880² = 17497574354689228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2957834881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 155675511 + ... + 155675529.

It is an arithmetic number, because the mean of its divisors is an integer number (9746100).

Almost surely, 2^2957834880 is an apocalyptic number.

2957834880 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 2957834880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7485004800).

2957834880 is an abundant number, since it is smaller than the sum of its proper divisors (12012174720).

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

2957834880 is a wasteful number, since it uses less digits than its factorization.

2957834880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The square root of 2957834880 is about 54385.9805464607. The cubic root of 2957834880 is about 1435.4607058750.

The spelling of 2957834880 in words is "two billion, nine hundred fifty-seven million, eight hundred thirty-four thousand, eight hundred eighty".