2634381120 has 168 divisors, whose sum is σ = 9729910944. Its totient is φ = 602133504.

The previous prime is 2634381119. The next prime is 2634381173. The reversal of 2634381120 is 211834362.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19039 + ... + 75041.

Almost surely, 2^2634381120 is an apocalyptic number.

2634381120 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 2634381120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4864955472).

2634381120 is an abundant number, since it is smaller than the sum of its proper divisors (7095529824).

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

2634381120 is a wasteful number, since it uses less digits than its factorization.

2634381120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56037 (or 56020 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 2634381120 is about 51326.2225378023. Note that the first 3 decimals coincide. The cubic root of 2634381120 is about 1381.1034233054.

The spelling of 2634381120 in words is "two billion, six hundred thirty-four million, three hundred eighty-one thousand, one hundred twenty".