2687412000 has 768 divisors, whose sum is σ = 11412430848. Its totient is φ = 537292800.

The previous prime is 2687411959. The next prime is 2687412019. The reversal of 2687412000 is 2147862.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25115947 + ... + 25116053.

It is an arithmetic number, because the mean of its divisors is an integer number (14859936).

Almost surely, 2^2687412000 is an apocalyptic number.

2687412000 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 2687412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5706215424).

2687412000 is an abundant number, since it is smaller than the sum of its proper divisors (8725018848).

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

2687412000 is a wasteful number, since it uses less digits than its factorization.

2687412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 2687412000 is about 51840.2546290043. The cubic root of 2687412000 is about 1390.3092664506.

Adding to 2687412000 its reverse (2147862), we get a palindrome (2689559862).

The spelling of 2687412000 in words is "two billion, six hundred eighty-seven million, four hundred twelve thousand".