2687421000 has 512 divisors, whose sum is σ = 9833840640. Its totient is φ = 604800000.

The previous prime is 2687420999. The next prime is 2687421001. The reversal of 2687421000 is 1247862.

It is an interprime number because it is at equal distance from previous prime (2687420999) and next prime (2687421001).

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

It is not an unprimeable number, because it can be changed into a prime (2687421001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37850965 + ... + 37851035.

It is an arithmetic number, because the mean of its divisors is an integer number (19206720).

Almost surely, 2^2687421000 is an apocalyptic number.

2687421000 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 2687421000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4916920320).

2687421000 is an abundant number, since it is smaller than the sum of its proper divisors (7146419640).

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

2687421000 is a wasteful number, since it uses less digits than its factorization.

2687421000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 160 counting only the distinct ones).

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

The square root of 2687421000 is about 51840.3414340608. The cubic root of 2687421000 is about 1390.3108184728.

Adding to 2687421000 its reverse (1247862), we get a palindrome (2688668862).

It can be divided in two parts, 26874 and 21000, that added together give a palindrome (47874).

The spelling of 2687421000 in words is "two billion, six hundred eighty-seven million, four hundred twenty-one thousand".