2134345440 has 48 divisors (see below), whose sum is σ = 6723189648. Its totient is φ = 569158656.

The previous prime is 2134345397. The next prime is 2134345483. The reversal of 2134345440 is 445434312.

It is an interprime number because it is at equal distance from previous prime (2134345397) and next prime (2134345483).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2134345398 and 2134345407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2222797 + ... + 2223756.

It is an arithmetic number, because the mean of its divisors is an integer number (140066451).

Almost surely, 2^2134345440 is an apocalyptic number.

2134345440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2134345440 is an abundant number, since it is smaller than the sum of its proper divisors (4588844208).

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

2134345440 is a wasteful number, since it uses less digits than its factorization.

2134345440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4446571 (or 4446563 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 2134345440 is about 46198.9766120420. The cubic root of 2134345440 is about 1287.5227260889.

Adding to 2134345440 its reverse (445434312), we get a palindrome (2579779752).

The spelling of 2134345440 in words is "two billion, one hundred thirty-four million, three hundred forty-five thousand, four hundred forty".