2835206400 has 432 divisors, whose sum is σ = 10382571584. Its totient is φ = 676823040.

The previous prime is 2835206377. The next prime is 2835206411. The reversal of 2835206400 is 46025382.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9235047 + ... + 9235353.

Almost surely, 2^2835206400 is an apocalyptic number.

2835206400 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 2835206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5191285792).

2835206400 is an abundant number, since it is smaller than the sum of its proper divisors (7547365184).

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

2835206400 is a wasteful number, since it uses less digits than its factorization.

2835206400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 2835206400 is about 53246.6562330443. The cubic root of 2835206400 is about 1415.3425400705.

The spelling of 2835206400 in words is "two billion, eight hundred thirty-five million, two hundred six thousand, four hundred".