2436245201664 has 216 divisors, whose sum is σ = 7066298230992. Its totient is φ = 807233495040.

The previous prime is 2436245201647. The next prime is 2436245201701. The reversal of 2436245201664 is 4661025426342.

It is a happy number.

2436245201664 is a `hidden beast` number, since 2 + 4 + 3 + 62 + 4 + 520 + 1 + 6 + 64 = 666.

It is a super-3 number, since 3×2436245201664³ (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 790217467 + ... + 790220549.

It is an arithmetic number, because the mean of its divisors is an integer number (32714343662).

Almost surely, 2^{2436245201664} is an apocalyptic number.

2436245201664 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 2436245201664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3533149115496).

2436245201664 is an abundant number, since it is smaller than the sum of its proper divisors (4630053029328).

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

2436245201664 is a wasteful number, since it uses less digits than its factorization.

2436245201664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5043 (or 5026 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 2436245201664 in words is "two trillion, four hundred thirty-six billion, two hundred forty-five million, two hundred one thousand, six hundred sixty-four".