2670641820 has 288 divisors, whose sum is σ = 10439116800. Its totient is φ = 554843520.

The previous prime is 2670641819. The next prime is 2670641837. The reversal of 2670641820 is 281460762.

2670641820 is a `hidden beast` number, since 2 + 6 + 7 + 0 + 641 + 8 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 454461 + ... + 460299.

Almost surely, 2^2670641820 is an apocalyptic number.

2670641820 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 2670641820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5219558400).

2670641820 is an abundant number, since it is smaller than the sum of its proper divisors (7768474980).

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

2670641820 is a wasteful number, since it uses less digits than its factorization.

2670641820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5886 (or 5867 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2670641820 is about 51678.2528729445. The cubic root of 2670641820 is about 1387.4112609427.

The spelling of 2670641820 in words is "two billion, six hundred seventy million, six hundred forty-one thousand, eight hundred twenty".