2034264274560 has 576 divisors, whose sum is σ = 8474114769120. Its totient is φ = 464972949504.

The previous prime is 2034264274547. The next prime is 2034264274577. The reversal of 2034264274560 is 654724624302.

2034264274560 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 2 + 64 + 27 + 4 + 560 = 666.

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

It is a super-2 number, since 2×2034264274560² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7487007 + ... + 7753953.

Almost surely, 2^{2034264274560} is an apocalyptic number.

2034264274560 is a gapful number since it is divisible by the number (20) 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 2034264274560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4237057384560).

2034264274560 is an abundant number, since it is smaller than the sum of its proper divisors (6439850494560).

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

2034264274560 is an equidigital number, since it uses as much as digits as its factorization.

2034264274560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266995 (or 266964 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

Adding to 2034264274560 its reverse (654724624302), we get a palindrome (2688988898862).

The spelling of 2034264274560 in words is "two trillion, thirty-four billion, two hundred sixty-four million, two hundred seventy-four thousand, five hundred sixty".