2135777280 has 448 divisors, whose sum is σ = 8455200768. Its totient is φ = 448266240.

The previous prime is 2135777257. The next prime is 2135777299. The reversal of 2135777280 is 827775312.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11181985 + ... + 11182175.

It is an arithmetic number, because the mean of its divisors is an integer number (18873216).

Almost surely, 2^2135777280 is an apocalyptic number.

2135777280 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 2135777280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4227600384).

2135777280 is an abundant number, since it is smaller than the sum of its proper divisors (6319423488).

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

2135777280 is a wasteful number, since it uses less digits than its factorization.

2135777280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 42.

The square root of 2135777280 is about 46214.4704611013. The cubic root of 2135777280 is about 1287.8105761579.

The spelling of 2135777280 in words is "two billion, one hundred thirty-five million, seven hundred seventy-seven thousand, two hundred eighty".