2090025005040 has 400 divisors, whose sum is σ = 8582034732480. Its totient is φ = 461246607360.

The previous prime is 2090025005023. The next prime is 2090025005041. The reversal of 2090025005040 is 405005200902.

2090025005040 is a `hidden beast` number, since 20 + 90 + 0 + 2 + 50 + 0 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2090025004995 and 2090025005013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2090025005041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 521020 + ... + 2109860.

Almost surely, 2^{2090025005040} is an apocalyptic number.

2090025005040 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 2090025005040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4291017366240).

2090025005040 is an abundant number, since it is smaller than the sum of its proper divisors (6492009727440).

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

2090025005040 is a wasteful number, since it uses less digits than its factorization.

2090025005040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588902 (or 1588887 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 2090025005040 in words is "two trillion, ninety billion, twenty-five million, five thousand, forty".