2965022161920 has 2112 divisors, whose sum is σ = 13411085635584. Its totient is φ = 588597166080.

The previous prime is 2965022161919. The next prime is 2965022161949. The reversal of 2965022161920 is 291612205692.

2965022161920 is a `hidden beast` number, since 2 + 9 + 6 + 5 + 0 + 2 + 2 + 1 + 619 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6847626024 + ... + 6847626456.

Almost surely, 2^{2965022161920} is an apocalyptic number.

2965022161920 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 2965022161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6705542817792).

2965022161920 is an abundant number, since it is smaller than the sum of its proper divisors (10446063473664).

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

2965022161920 is a wasteful number, since it uses less digits than its factorization.

2965022161920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 2965022161920 in words is "two trillion, nine hundred sixty-five billion, twenty-two million, one hundred sixty-one thousand, nine hundred twenty".