2151904064 has 56 divisors (see below), whose sum is σ = 4535561160. Its totient is φ = 1009483776.

The previous prime is 2151904063. The next prime is 2151904103. The reversal of 2151904064 is 4604091512.

It can be written as a sum of positive squares in 4 ways, for example, as 73273600 + 2078630464 = 8560^2 + 45592^2 .

It is a super-2 number, since 2×2151904064² = 9261382201319432192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 2151904064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2151904063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 363722 + ... + 369590.

Almost surely, 2^2151904064 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 2151904064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2267780580).

2151904064 is an abundant number, since it is smaller than the sum of its proper divisors (2383657096).

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

2151904064 is a wasteful number, since it uses less digits than its factorization.

2151904064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6235 (or 6225 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 2151904064 is about 46388.6199837848. The cubic root of 2151904064 is about 1291.0437767391.

Adding to 2151904064 its reverse (4604091512), we get a palindrome (6755995576).

The spelling of 2151904064 in words is "two billion, one hundred fifty-one million, nine hundred four thousand, sixty-four".