2133962376 has 256 divisors, whose sum is σ = 6944931840. Its totient is φ = 531256320.

The previous prime is 2133962339. The next prime is 2133962381. The reversal of 2133962376 is 6732693312.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2910906 + ... + 2911638.

It is an arithmetic number, because the mean of its divisors is an integer number (27128640).

Almost surely, 2^2133962376 is an apocalyptic number.

2133962376 is a gapful number since it is divisible by the number (26) 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 2133962376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3472465920).

2133962376 is an abundant number, since it is smaller than the sum of its proper divisors (4810969464).

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

2133962376 is a wasteful number, since it uses less digits than its factorization.

2133962376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 832 counting only the distinct ones).

The product of its digits is 244944, while the sum is 42.

The square root of 2133962376 is about 46194.8306198865. The cubic root of 2133962376 is about 1287.4456949603.

The spelling of 2133962376 in words is "two billion, one hundred thirty-three million, nine hundred sixty-two thousand, three hundred seventy-six".