2631151000 has 128 divisors (see below), whose sum is σ = 6301152000. Its totient is φ = 1028160000.

The previous prime is 2631150983. The next prime is 2631151031. The reversal of 2631151000 is 1511362.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11008881 + ... + 11009119.

It is an arithmetic number, because the mean of its divisors is an integer number (49227750).

Almost surely, 2^2631151000 is an apocalyptic number.

2631151000 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 2631151000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3150576000).

2631151000 is an abundant number, since it is smaller than the sum of its proper divisors (3670001000).

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

2631151000 is a wasteful number, since it uses less digits than its factorization.

2631151000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 2631151000 is about 51294.7463196768. The cubic root of 2631151000 is about 1380.5387170673.

Adding to 2631151000 its reverse (1511362), we get a palindrome (2632662362).

The spelling of 2631151000 in words is "two billion, six hundred thirty-one million, one hundred fifty-one thousand".