2670838380 has 384 divisors, whose sum is σ = 10189670400. Its totient is φ = 566894592.

The previous prime is 2670838369. The next prime is 2670838409. The reversal of 2670838380 is 838380762.

2670838380 is a `hidden beast` number, since 267 + 0 + 8 + 3 + 8 + 380 = 666.

2670838380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5718907 + ... + 5719373.

It is an arithmetic number, because the mean of its divisors is an integer number (26535600).

Almost surely, 2^2670838380 is an apocalyptic number.

2670838380 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 2670838380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5094835200).

2670838380 is an abundant number, since it is smaller than the sum of its proper divisors (7518832020).

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

2670838380 is a wasteful number, since it uses less digits than its factorization.

2670838380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 2670838380 is about 51680.1546050319. The cubic root of 2670838380 is about 1387.4452980626.

The spelling of 2670838380 in words is "two billion, six hundred seventy million, eight hundred thirty-eight thousand, three hundred eighty".