2135624064 has 256 divisors, whose sum is σ = 6697728000. Its totient is φ = 590413824.

The previous prime is 2135624063. The next prime is 2135624081. The reversal of 2135624064 is 4604265312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135624063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18899272 + ... + 18899384.

It is an arithmetic number, because the mean of its divisors is an integer number (26163000).

Almost surely, 2^2135624064 is an apocalyptic number.

2135624064 is a gapful number since it is divisible by the number (24) 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 2135624064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3348864000).

2135624064 is an abundant number, since it is smaller than the sum of its proper divisors (4562103936).

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

2135624064 is a wasteful number, since it uses less digits than its factorization.

2135624064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 2135624064 is about 46212.8127687549. The cubic root of 2135624064 is about 1287.7797805149.

Adding to 2135624064 its reverse (4604265312), we get a palindrome (6739889376).

The spelling of 2135624064 in words is "two billion, one hundred thirty-five million, six hundred twenty-four thousand, sixty-four".