2835207040 has 128 divisors (see below), whose sum is σ = 7060154400. Its totient is φ = 1087414272.

The previous prime is 2835207019. The next prime is 2835207077. The reversal of 2835207040 is 407025382.

2835207040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 2835206993 and 2835207011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3210439 + ... + 3211321.

Almost surely, 2^2835207040 is an apocalyptic number.

2835207040 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 2835207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3530077200).

2835207040 is an abundant number, since it is smaller than the sum of its proper divisors (4224947360).

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

2835207040 is a wasteful number, since it uses less digits than its factorization.

2835207040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 2835207040 is about 53246.6622428111. The cubic root of 2835207040 is about 1415.3426465671.

The spelling of 2835207040 in words is "two billion, eight hundred thirty-five million, two hundred seven thousand, forty".