2835738983040 has 384 divisors, whose sum is σ = 9772462365120. Its totient is φ = 698917109760.

The previous prime is 2835738983009. The next prime is 2835738983047. The reversal of 2835738983040 is 403898375382.

2835738983040 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 (384).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (2835738983047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28368027 + ... + 28467813.

Almost surely, 2^{2835738983040} is an apocalyptic number.

2835738983040 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 2835738983040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4886231182560).

2835738983040 is an abundant number, since it is smaller than the sum of its proper divisors (6936723382080).

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

2835738983040 is a wasteful number, since it uses less digits than its factorization.

2835738983040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99888 (or 99857 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 2835738983040 in words is "two trillion, eight hundred thirty-five billion, seven hundred thirty-eight million, nine hundred eighty-three thousand, forty".