2840034960 has 800 divisors, whose sum is σ = 12444917760. Its totient is φ = 585252864.

The previous prime is 2840034959. The next prime is 2840034973. The reversal of 2840034960 is 694300482.

It is a happy number.

2840034960 is digitally balanced in base 2, because in such base 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 an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 22362417 + ... + 22362543.

Almost surely, 2^2840034960 is an apocalyptic number.

2840034960 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 2840034960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6222458880).

2840034960 is an abundant number, since it is smaller than the sum of its proper divisors (9604882800).

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

2840034960 is a wasteful number, since it uses less digits than its factorization.

2840034960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2840034960 is about 53291.9783832426. The cubic root of 2840034960 is about 1416.1455610201.

The spelling of 2840034960 in words is "two billion, eight hundred forty million, thirty-four thousand, nine hundred sixty".