2012361264 has 240 divisors, whose sum is σ = 6300882432. Its totient is φ = 596293632.

The previous prime is 2012361251. The next prime is 2012361271. The reversal of 2012361264 is 4621632102.

2012361264 is a `hidden beast` number, since 20 + 1 + 23 + 612 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5799139 + ... + 5799485.

Almost surely, 2^2012361264 is an apocalyptic number.

2012361264 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 2012361264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3150441216).

2012361264 is an abundant number, since it is smaller than the sum of its proper divisors (4288521168).

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

2012361264 is a wasteful number, since it uses less digits than its factorization.

2012361264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2012361264 is about 44859.3497946638. The cubic root of 2012361264 is about 1262.5114232734.

Adding to 2012361264 its reverse (4621632102), we get a palindrome (6633993366).

It can be divided in two parts, 201236 and 1264, that added together give a square (202500 = 450²).

The spelling of 2012361264 in words is "two billion, twelve million, three hundred sixty-one thousand, two hundred sixty-four".