2055234035040 has 384 divisors, whose sum is σ = 6654826708992. Its totient is φ = 533009111040.

The previous prime is 2055234035021. The next prime is 2055234035047. The reversal of 2055234035040 is 405304325502.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2055234034992 and 2055234035010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2055234035047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 959044209 + ... + 959046351.

It is an arithmetic number, because the mean of its divisors is an integer number (17330277888).

Almost surely, 2^{2055234035040} is an apocalyptic number.

2055234035040 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 2055234035040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3327413354496).

2055234035040 is an abundant number, since it is smaller than the sum of its proper divisors (4599592673952).

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

2055234035040 is a wasteful number, since it uses less digits than its factorization.

2055234035040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2602 (or 2594 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 33.

The spelling of 2055234035040 in words is "two trillion, fifty-five billion, two hundred thirty-four million, thirty-five thousand, forty".