2138325552 has 180 divisors, whose sum is σ = 6965726040. Its totient is φ = 609776640.

The previous prime is 2138325547. The next prime is 2138325589. The reversal of 2138325552 is 2555238312.

2138325552 is a `hidden beast` number, since 2 + 1 + 3 + 83 + 25 + 552 = 666.

It is a super-2 number, since 2×2138325552² = 9144872332672209408, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 292599 + ... + 299817.

It is an arithmetic number, because the mean of its divisors is an integer number (38698478).

Almost surely, 2^2138325552 is an apocalyptic number.

2138325552 is a gapful number since it is divisible by the number (22) 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 2138325552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3482863020).

2138325552 is an abundant number, since it is smaller than the sum of its proper divisors (4827400488).

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

2138325552 is a wasteful number, since it uses less digits than its factorization.

2138325552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7272 (or 7252 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 2138325552 is about 46242.0323082799. The cubic root of 2138325552 is about 1288.3225501607.

The spelling of 2138325552 in words is "two billion, one hundred thirty-eight million, three hundred twenty-five thousand, five hundred fifty-two".