2782687500 has 336 divisors, whose sum is σ = 9646751520. Its totient is φ = 691200000.

The previous prime is 2782687493. The next prime is 2782687519. The reversal of 2782687500 is 57862872.

2782687500 is a `hidden beast` number, since 2 + 7 + 82 + 68 + 7 + 500 = 666.

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 111 ways as a sum of consecutive naturals, for example, 28687452 + ... + 28687548.

It is an arithmetic number, because the mean of its divisors is an integer number (28710570).

Almost surely, 2^2782687500 is an apocalyptic number.

2782687500 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 2782687500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4823375760).

2782687500 is an abundant number, since it is smaller than the sum of its proper divisors (6864064020).

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

2782687500 is an equidigital number, since it uses as much as digits as its factorization.

2782687500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 2782687500 is about 52751.1848208171. The cubic root of 2782687500 is about 1406.5488253846.

It can be divided in two parts, 27 and 82687500, that multiplied together give a square (2232562500 = 47250²).

The spelling of 2782687500 in words is "two billion, seven hundred eighty-two million, six hundred eighty-seven thousand, five hundred".