2019790412640 has 4608 divisors, whose sum is σ = 10540125388800. Its totient is φ = 349360128000.

The previous prime is 2019790412617. The next prime is 2019790412669. The reversal of 2019790412640 is 462140979102.

2019790412640 is a `hidden beast` number, since 2 + 0 + 1 + 97 + 90 + 412 + 64 + 0 = 666.

It is a super-2 number, since 2×2019790412640² (a number of 25 digits) contains 22 as substring.

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 767 ways as a sum of consecutive naturals, for example, 33111318210 + ... + 33111318270.

It is an arithmetic number, because the mean of its divisors is an integer number (2287353600).

Almost surely, 2^{2019790412640} is an apocalyptic number.

2019790412640 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 2019790412640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5270062694400).

2019790412640 is an abundant number, since it is smaller than the sum of its proper divisors (8520334976160).

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

2019790412640 is a wasteful number, since it uses less digits than its factorization.

2019790412640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 2019790412640 in words is "two trillion, nineteen billion, seven hundred ninety million, four hundred twelve thousand, six hundred forty".