2642022472320 has 1024 divisors, whose sum is σ = 11732304384000. Its totient is φ = 545875476480.

The previous prime is 2642022472303. The next prime is 2642022472339. The reversal of 2642022472320 is 232742202462.

2642022472320 is a `hidden beast` number, since 2 + 6 + 42 + 0 + 224 + 72 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 127 ways as a sum of consecutive naturals, for example, 238164694 + ... + 238175786.

It is an arithmetic number, because the mean of its divisors is an integer number (11457328500).

Almost surely, 2^{2642022472320} is an apocalyptic number.

2642022472320 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 2642022472320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5866152192000).

2642022472320 is an abundant number, since it is smaller than the sum of its proper divisors (9090281911680).

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

2642022472320 is a wasteful number, since it uses less digits than its factorization.

2642022472320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11318 (or 11300 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 36.

Adding to 2642022472320 its reverse (232742202462), we get a palindrome (2874764674782).

The spelling of 2642022472320 in words is "two trillion, six hundred forty-two billion, twenty-two million, four hundred seventy-two thousand, three hundred twenty".