2534267120 has 320 divisors, whose sum is σ = 7885209600. Its totient is φ = 733639680.

The previous prime is 2534267111. The next prime is 2534267123. The reversal of 2534267120 is 217624352.

2534267120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2534267123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6905177 + ... + 6905543.

It is an arithmetic number, because the mean of its divisors is an integer number (24641280).

Almost surely, 2^2534267120 is an apocalyptic number.

2534267120 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 2534267120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3942604800).

2534267120 is an abundant number, since it is smaller than the sum of its proper divisors (5350942480).

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

2534267120 is a wasteful number, since it uses less digits than its factorization.

2534267120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 2534267120 is about 50341.5049437341. The cubic root of 2534267120 is about 1363.3817082340.

The spelling of 2534267120 in words is "two billion, five hundred thirty-four million, two hundred sixty-seven thousand, one hundred twenty".