2634945300 has 216 divisors, whose sum is σ = 8977618104. Its totient is φ = 642539520.

The previous prime is 2634945283. The next prime is 2634945301. The reversal of 2634945300 is 35494362.

2634945300 is a `hidden beast` number, since 2 + 6 + 34 + 94 + 530 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1707011856 + 927933444 = 41316^2 + 30462^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2634945301) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1321104 + ... + 1323096.

Almost surely, 2^2634945300 is an apocalyptic number.

2634945300 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 2634945300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4488809052).

2634945300 is an abundant number, since it is smaller than the sum of its proper divisors (6342672804).

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

2634945300 is a wasteful number, since it uses less digits than its factorization.

2634945300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2139 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 2634945300 is about 51331.7182646363. The cubic root of 2634945300 is about 1381.2020088019.

The spelling of 2634945300 in words is "two billion, six hundred thirty-four million, nine hundred forty-five thousand, three hundred".