2533138272 has 240 divisors, whose sum is σ = 8580448800. Its totient is φ = 718129152.

The previous prime is 2533138249. The next prime is 2533138303. The reversal of 2533138272 is 2728313352.

2533138272 is a `hidden beast` number, since 25 + 331 + 38 + 272 = 666.

It is a super-2 number, since 2×2533138272² = 12833579010142291968, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2702988 + ... + 2703924.

It is an arithmetic number, because the mean of its divisors is an integer number (35751870).

Almost surely, 2^2533138272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2533138272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4290224400).

2533138272 is an abundant number, since it is smaller than the sum of its proper divisors (6047310528).

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

2533138272 is a wasteful number, since it uses less digits than its factorization.

2533138272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1098 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 2533138272 is about 50330.2917933127. The cubic root of 2533138272 is about 1363.1792461133.

The spelling of 2533138272 in words is "two billion, five hundred thirty-three million, one hundred thirty-eight thousand, two hundred seventy-two".