2135040000 has 280 divisors, whose sum is σ = 7165268880. Its totient is φ = 565248000.

The previous prime is 2135039993. The next prime is 2135040043. The reversal of 2135040000 is 405312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15359931 + ... + 15360069.

It is an arithmetic number, because the mean of its divisors is an integer number (25590246).

Almost surely, 2^2135040000 is an apocalyptic number.

2135040000 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 2135040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3582634440).

2135040000 is an abundant number, since it is smaller than the sum of its proper divisors (5030228880).

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

2135040000 is an frugal number, since it uses more digits than its factorization.

2135040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 2135040000 is about 46206.4930502197. The cubic root of 2135040000 is about 1287.6623730867.

Adding to 2135040000 its reverse (405312), we get a palindrome (2135445312).

The spelling of 2135040000 in words is "two billion, one hundred thirty-five million, forty thousand".