2920122788352 has 640 divisors, whose sum is σ = 9931044372480. Its totient is φ = 740470947840.

The previous prime is 2920122788293. The next prime is 2920122788369. The reversal of 2920122788352 is 2538872210292.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2920122788295 and 2920122788304.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1397855724 + ... + 1397857812.

It is an arithmetic number, because the mean of its divisors is an integer number (15517256832).

Almost surely, 2^{2920122788352} is an apocalyptic number.

2920122788352 is a gapful number since it is divisible by the number (22) 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 2920122788352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4965522186240).

2920122788352 is an abundant number, since it is smaller than the sum of its proper divisors (7010921584128).

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

2920122788352 is a wasteful number, since it uses less digits than its factorization.

2920122788352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2404 (or 2388 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 2920122788352 in words is "two trillion, nine hundred twenty billion, one hundred twenty-two million, seven hundred eighty-eight thousand, three hundred fifty-two".