2687343750 has 384 divisors, whose sum is σ = 9351538560. Its totient is φ = 567000000.

The previous prime is 2687343733. The next prime is 2687343751. The reversal of 2687343750 is 573437862.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 2687343696 and 2687343705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2687343751) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 206718744 + ... + 206718756.

It is an arithmetic number, because the mean of its divisors is an integer number (24352965).

Almost surely, 2^2687343750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2687343750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4675769280).

2687343750 is an abundant number, since it is smaller than the sum of its proper divisors (6664194810).

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

2687343750 is an frugal number, since it uses more digits than its factorization.

2687343750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 2687343750 is about 51839.5963525952. The cubic root of 2687343750 is about 1390.2974968360.

It can be divided in two parts, 268734 and 3750, that added together give a square (272484 = 522²).

The spelling of 2687343750 in words is "two billion, six hundred eighty-seven million, three hundred forty-three thousand, seven hundred fifty".