2135413280 has 384 divisors, whose sum is σ = 6909235200. Its totient is φ = 602173440.

The previous prime is 2135413277. The next prime is 2135413283. The reversal of 2135413280 is 823145312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2135413277) and next prime (2135413283).

It is not an unprimeable number, because it can be changed into a prime (2135413283) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10730621 + ... + 10730819.

It is an arithmetic number, because the mean of its divisors is an integer number (17992800).

Almost surely, 2^2135413280 is an apocalyptic number.

2135413280 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 2135413280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3454617600).

2135413280 is an abundant number, since it is smaller than the sum of its proper divisors (4773821920).

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

2135413280 is a wasteful number, since it uses less digits than its factorization.

2135413280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 2135413280 is about 46210.5321328374. The cubic root of 2135413280 is about 1287.7374115873.

Adding to 2135413280 its reverse (823145312), we get a palindrome (2958558592).

The spelling of 2135413280 in words is "two billion, one hundred thirty-five million, four hundred thirteen thousand, two hundred eighty".