2787161000 has 128 divisors (see below), whose sum is σ = 7266823200. Its totient is φ = 993484800.

The previous prime is 2787160997. The next prime is 2787161063. The reversal of 2787161000 is 1617872.

It can be written as a sum of positive squares in 16 ways, for example, as 841116004 + 1946044996 = 29002^2 + 44114^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 373304 + ... + 380696.

Almost surely, 2^2787161000 is an apocalyptic number.

2787161000 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 2787161000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3633411600).

2787161000 is an abundant number, since it is smaller than the sum of its proper divisors (4479662200).

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

2787161000 is a wasteful number, since it uses less digits than its factorization.

2787161000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7456 (or 7442 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 32.

The square root of 2787161000 is about 52793.5696841954. The cubic root of 2787161000 is about 1407.3021531611.

Adding to 2787161000 its reverse (1617872), we get a palindrome (2788778872).

The spelling of 2787161000 in words is "two billion, seven hundred eighty-seven million, one hundred sixty-one thousand".