2607134220 has 144 divisors (see below), whose sum is σ = 8231146560. Its totient is φ = 667150848.

The previous prime is 2607134197. The next prime is 2607134261. The reversal of 2607134220 is 224317062.

2607134220 is a `hidden beast` number, since 2 + 607 + 1 + 34 + 2 + 20 = 666.

2607134220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 901617 + ... + 904503.

It is an arithmetic number, because the mean of its divisors is an integer number (57160740).

Almost surely, 2^2607134220 is an apocalyptic number.

2607134220 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 2607134220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4115573280).

2607134220 is an abundant number, since it is smaller than the sum of its proper divisors (5624012340).

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

2607134220 is a wasteful number, since it uses less digits than its factorization.

2607134220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3104 (or 3099 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2607134220 is about 51060.1039951937. The cubic root of 2607134220 is about 1376.3254164039.

The spelling of 2607134220 in words is "two billion, six hundred seven million, one hundred thirty-four thousand, two hundred twenty".