2123252064 has 72 divisors (see below), whose sum is σ = 6046480440. Its totient is φ = 706756608.

The previous prime is 2123252063. The next prime is 2123252069. The reversal of 2123252064 is 4602523212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123252063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 216679 + ... + 226265.

It is an arithmetic number, because the mean of its divisors is an integer number (83978895).

Almost surely, 2^2123252064 is an apocalyptic number.

2123252064 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 2123252064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3023240220).

2123252064 is an abundant number, since it is smaller than the sum of its proper divisors (3923228376).

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

2123252064 is a wasteful number, since it uses less digits than its factorization.

2123252064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10372 (or 10361 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2123252064 is about 46078.7593582987. The cubic root of 2123252064 is about 1285.2881938755.

Adding to 2123252064 its reverse (4602523212), we get a palindrome (6725775276).

The spelling of 2123252064 in words is "two billion, one hundred twenty-three million, two hundred fifty-two thousand, sixty-four".