2652422778720 has 1728 divisors, whose sum is σ = 11595029741568. Its totient is φ = 543697920000.

The previous prime is 2652422778631. The next prime is 2652422778727. The reversal of 2652422778720 is 278772242562.

2652422778720 is a `hidden beast` number, since 2 + 6 + 52 + 422 + 77 + 87 + 20 = 666.

2652422778720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2652422778727) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2304450145 + ... + 2304451295.

It is an arithmetic number, because the mean of its divisors is an integer number (6710086656).

Almost surely, 2^{2652422778720} is an apocalyptic number.

2652422778720 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 2652422778720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5797514870784).

2652422778720 is an abundant number, since it is smaller than the sum of its proper divisors (8942606962848).

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

2652422778720 is a wasteful number, since it uses less digits than its factorization.

2652422778720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 10536960, while the sum is 54.

The spelling of 2652422778720 in words is "two trillion, six hundred fifty-two billion, four hundred twenty-two million, seven hundred seventy-eight thousand, seven hundred twenty".