2834979840 has 1056 divisors, whose sum is σ = 13243336704. Its totient is φ = 542638080.

The previous prime is 2834979827. The next prime is 2834979863. The reversal of 2834979840 is 489794382.

2834979840 is a `hidden beast` number, since 28 + 3 + 497 + 98 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×2834979840² = 16074221386412851200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 60318697 + ... + 60318743.

Almost surely, 2^2834979840 is an apocalyptic number.

2834979840 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 2834979840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6621668352).

2834979840 is an abundant number, since it is smaller than the sum of its proper divisors (10408356864).

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

2834979840 is a wasteful number, since it uses less digits than its factorization.

2834979840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 2834979840 is about 53244.5287330069. The cubic root of 2834979840 is about 1415.3048392824.

The spelling of 2834979840 in words is "two billion, eight hundred thirty-four million, nine hundred seventy-nine thousand, eight hundred forty".