2630401000 has 64 divisors (see below), whose sum is σ = 6163335360. Its totient is φ = 1050760000.

The previous prime is 2630400989. The next prime is 2630401027. The reversal of 2630401000 is 1040362.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1089795 + ... + 1092205.

It is an arithmetic number, because the mean of its divisors is an integer number (96302115).

Almost surely, 2^2630401000 is an apocalyptic number.

2630401000 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 2630401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3081667680).

2630401000 is an abundant number, since it is smaller than the sum of its proper divisors (3532934360).

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

2630401000 is a wasteful number, since it uses less digits than its factorization.

2630401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3523 (or 3509 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2630401000 is about 51287.4351084162. The cubic root of 2630401000 is about 1380.4075320925.

Adding to 2630401000 its reverse (1040362), we get a palindrome (2631441362).

The spelling of 2630401000 in words is "two billion, six hundred thirty million, four hundred one thousand".