2133887976 has 448 divisors, whose sum is σ = 7177075200. Its totient is φ = 587865600.

The previous prime is 2133887971. The next prime is 2133887981. The reversal of 2133887976 is 6797883312.

It is an interprime number because it is at equal distance from previous prime (2133887971) and next prime (2133887981).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2133887971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 57672630 + ... + 57672666.

Almost surely, 2^2133887976 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 2133887976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3588537600).

2133887976 is an abundant number, since it is smaller than the sum of its proper divisors (5043187224).

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

2133887976 is a wasteful number, since it uses less digits than its factorization.

2133887976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 113 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 2133887976 is about 46194.0253279577. The cubic root of 2133887976 is about 1287.4307326420.

The spelling of 2133887976 in words is "two billion, one hundred thirty-three million, eight hundred eighty-seven thousand, nine hundred seventy-six".