2135207776 has 48 divisors (see below), whose sum is σ = 4561725168. Its totient is φ = 977932800.

The previous prime is 2135207759. The next prime is 2135207797. The reversal of 2135207776 is 6777025312.

It is a happy number.

It is a super-2 number, since 2×2135207776² = 9118224493381732352, 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 (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34906 + ... + 74086.

It is an arithmetic number, because the mean of its divisors is an integer number (95035941).

Almost surely, 2^2135207776 is an apocalyptic number.

2135207776 is a gapful number since it is divisible by the number (26) 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 2135207776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2280862584).

2135207776 is an abundant number, since it is smaller than the sum of its proper divisors (2426517392).

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

2135207776 is a wasteful number, since it uses less digits than its factorization.

2135207776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39335 (or 39327 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 40.

The square root of 2135207776 is about 46208.3085169756. The cubic root of 2135207776 is about 1287.6961012890.

The spelling of 2135207776 in words is "two billion, one hundred thirty-five million, two hundred seven thousand, seven hundred seventy-six".