2630011020 has 192 divisors, whose sum is σ = 9135092736. Its totient is φ = 550517760.

The previous prime is 2630011009. The next prime is 2630011037. The reversal of 2630011020 is 201100362.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 713422 + ... + 717098.

It is an arithmetic number, because the mean of its divisors is an integer number (47578608).

Almost surely, 2^2630011020 is an apocalyptic number.

2630011020 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 2630011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4567546368).

2630011020 is an abundant number, since it is smaller than the sum of its proper divisors (6505081716).

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

2630011020 is a wasteful number, since it uses less digits than its factorization.

2630011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3840 (or 3838 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2630011020 is about 51283.6330616309. The cubic root of 2630011020 is about 1380.3393095496.

Adding to 2630011020 its reverse (201100362), we get a palindrome (2831111382).

The spelling of 2630011020 in words is "two billion, six hundred thirty million, eleven thousand, twenty".