2623741120 has 224 divisors, whose sum is σ = 8389656576. Its totient is φ = 754790400.

The previous prime is 2623741091. The next prime is 2623741129. The reversal of 2623741120 is 211473262.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (2623741129) 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 31 ways as a sum of consecutive naturals, for example, 316225 + ... + 324415.

It is an arithmetic number, because the mean of its divisors is an integer number (37453824).

Almost surely, 2^2623741120 is an apocalyptic number.

2623741120 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 2623741120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4194828288).

2623741120 is an abundant number, since it is smaller than the sum of its proper divisors (5765915456).

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

2623741120 is a wasteful number, since it uses less digits than its factorization.

2623741120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8239 (or 8229 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 2623741120 is about 51222.4669456675. The cubic root of 2623741120 is about 1379.2415351857.

The spelling of 2623741120 in words is "two billion, six hundred twenty-three million, seven hundred forty-one thousand, one hundred twenty".