2634848700 has 288 divisors, whose sum is σ = 8949927168. Its totient is φ = 591360000.

The previous prime is 2634848687. The next prime is 2634848753. The reversal of 2634848700 is 78484362.

2634848700 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3758350 + ... + 3759050.

It is an arithmetic number, because the mean of its divisors is an integer number (31076136).

Almost surely, 2^2634848700 is an apocalyptic number.

2634848700 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 2634848700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4474963584).

2634848700 is an abundant number, since it is smaller than the sum of its proper divisors (6315078468).

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

2634848700 is a wasteful number, since it uses less digits than its factorization.

2634848700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 2634848700 is about 51330.7773173171. Note that the first 3 decimals coincide. The cubic root of 2634848700 is about 1381.1851297995.

It can be divided in two parts, 26 and 34848700, that added together give a triangular number (34848726 = T₈₃₄₈).

The spelling of 2634848700 in words is "two billion, six hundred thirty-four million, eight hundred forty-eight thousand, seven hundred".