2135438240 has 96 divisors (see below), whose sum is σ = 5446420560. Its totient is φ = 786530304.

The previous prime is 2135438213. The next prime is 2135438257. The reversal of 2135438240 is 428345312.

It can be written as a sum of positive squares in 8 ways, for example, as 1267075216 + 868363024 = 35596^2 + 29468^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2135438197 and 2135438206.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1057712 + ... + 1059728.

Almost surely, 2^2135438240 is an apocalyptic number.

2135438240 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 2135438240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2723210280).

2135438240 is an abundant number, since it is smaller than the sum of its proper divisors (3310982320).

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

2135438240 is a wasteful number, since it uses less digits than its factorization.

2135438240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2554 (or 2546 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 2135438240 is about 46210.8022003514. The cubic root of 2135438240 is about 1287.7424288520.

The spelling of 2135438240 in words is "two billion, one hundred thirty-five million, four hundred thirty-eight thousand, two hundred forty".