2042562646800 has 2160 divisors, whose sum is σ = 8770229919360. Its totient is φ = 452286996480.

The previous prime is 2042562646741. The next prime is 2042562646807. The reversal of 2042562646800 is 86462652402.

2042562646800 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 562 + 6 + 4 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×2042562646800² (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 not an unprimeable number, because it can be changed into a prime (2042562646807) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 14909216332 + ... + 14909216468.

Almost surely, 2^{2042562646800} is an apocalyptic number.

2042562646800 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 2042562646800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4385114959680).

2042562646800 is an abundant number, since it is smaller than the sum of its proper divisors (6727667272560).

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

2042562646800 is a wasteful number, since it uses less digits than its factorization.

2042562646800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 2042562646800 in words is "two trillion, forty-two billion, five hundred sixty-two million, six hundred forty-six thousand, eight hundred".