2935488445120 has 224 divisors, whose sum is σ = 8900397987840. Its totient is φ = 895489904640.

The previous prime is 2935488445111. The next prime is 2935488445187. The reversal of 2935488445120 is 215448845392.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×2935488445120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109315 + ... + 2425474.

Almost surely, 2^{2935488445120} is an apocalyptic number.

2935488445120 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 2935488445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4450198993920).

2935488445120 is an abundant number, since it is smaller than the sum of its proper divisors (5964909542720).

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

2935488445120 is a wasteful number, since it uses less digits than its factorization.

2935488445120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2534871 (or 2534861 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 55.

The spelling of 2935488445120 in words is "two trillion, nine hundred thirty-five billion, four hundred eighty-eight million, four hundred forty-five thousand, one hundred twenty".