2134845440 has 384 divisors, whose sum is σ = 6604416000. Its totient is φ = 644087808.

The previous prime is 2134845413. The next prime is 2134845443. The reversal of 2134845440 is 445484312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 2134845440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134845443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27023321 + ... + 27023399.

It is an arithmetic number, because the mean of its divisors is an integer number (17199000).

Almost surely, 2^2134845440 is an apocalyptic number.

2134845440 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 2134845440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3302208000).

2134845440 is an abundant number, since it is smaller than the sum of its proper divisors (4469570560).

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

2134845440 is a wasteful number, since it uses less digits than its factorization.

2134845440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 35.

The square root of 2134845440 is about 46204.3876704367. The cubic root of 2134845440 is about 1287.6232582533.

The spelling of 2134845440 in words is "two billion, one hundred thirty-four million, eight hundred forty-five thousand, four hundred forty".