2642022551520 has 432 divisors, whose sum is σ = 10229740649856. Its totient is φ = 619828070400.

The previous prime is 2642022551461. The next prime is 2642022551533. The reversal of 2642022551520 is 251552202462.

2642022551520 is a `hidden beast` number, since 2 + 6 + 420 + 225 + 5 + 1 + 5 + 2 + 0 = 666.

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

It is a congruent number.

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, 5156874 + ... + 5646006.

It is an arithmetic number, because the mean of its divisors is an integer number (23679955208).

Almost surely, 2^{2642022551520} is an apocalyptic number.

2642022551520 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 2642022551520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5114870324928).

2642022551520 is an abundant number, since it is smaller than the sum of its proper divisors (7587718098336).

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

2642022551520 is a wasteful number, since it uses less digits than its factorization.

2642022551520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489207 (or 489185 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 2642022551520 its reverse (251552202462), we get a palindrome (2893574753982).

The spelling of 2642022551520 in words is "two trillion, six hundred forty-two billion, twenty-two million, five hundred fifty-one thousand, five hundred twenty".