2311352064 has 576 divisors, whose sum is σ = 8539668480. Its totient is φ = 602173440.

The previous prime is 2311352027. The next prime is 2311352083. The reversal of 2311352064 is 4602531132.

2311352064 is a `hidden beast` number, since 23 + 113 + 520 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34497759 + ... + 34497825.

Almost surely, 2^2311352064 is an apocalyptic number.

2311352064 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 2311352064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4269834240).

2311352064 is an abundant number, since it is smaller than the sum of its proper divisors (6228316416).

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

2311352064 is a wasteful number, since it uses less digits than its factorization.

2311352064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2311352064 is about 48076.5230023969. The cubic root of 2311352064 is about 1322.1742678787.

Adding to 2311352064 its reverse (4602531132), we get a palindrome (6913883196).

The spelling of 2311352064 in words is "two billion, three hundred eleven million, three hundred fifty-two thousand, sixty-four".