2787961000 has 96 divisors (see below), whose sum is σ = 7171131240. Its totient is φ = 1013760000.

The previous prime is 2787960983. The next prime is 2787961003. The reversal of 2787961000 is 1697872.

It can be written as a sum of positive squares in 4 ways, for example, as 443270916 + 2344690084 = 21054^2 + 48422^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2787961003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109480 + ... + 132520.

Almost surely, 2^2787961000 is an apocalyptic number.

2787961000 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 2787961000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3585565620).

2787961000 is an abundant number, since it is smaller than the sum of its proper divisors (4383170240).

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

2787961000 is a wasteful number, since it uses less digits than its factorization.

2787961000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23084 (or 23059 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 40.

The square root of 2787961000 is about 52801.1458209005. The cubic root of 2787961000 is about 1407.4367864580.

The spelling of 2787961000 in words is "two billion, seven hundred eighty-seven million, nine hundred sixty-one thousand".