2787561000 has 640 divisors, whose sum is σ = 11535638400. Its totient is φ = 622339200.

The previous prime is 2787560983. The next prime is 2787561001. The reversal of 2787561000 is 1657872.

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

It is not an unprimeable number, because it can be changed into a prime (2787561001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 64826979 + ... + 64827021.

It is an arithmetic number, because the mean of its divisors is an integer number (18024435).

Almost surely, 2^2787561000 is an apocalyptic number.

2787561000 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 2787561000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5767819200).

2787561000 is an abundant number, since it is smaller than the sum of its proper divisors (8748077400).

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

2787561000 is an equidigital number, since it uses as much as digits as its factorization.

2787561000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 2787561000 is about 52797.3578884398. The cubic root of 2787561000 is about 1407.3694730294.

The spelling of 2787561000 in words is "two billion, seven hundred eighty-seven million, five hundred sixty-one thousand".