2072039840640 has 2048 divisors, whose sum is σ = 9507248640000. Its totient is φ = 422682624000.

The previous prime is 2072039840603. The next prime is 2072039840699. The reversal of 2072039840640 is 460489302702.

2072039840640 is a `hidden beast` number, since 207 + 2 + 0 + 39 + 8 + 406 + 4 + 0 = 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 255 ways as a sum of consecutive naturals, for example, 3977043580 + ... + 3977044100.

It is an arithmetic number, because the mean of its divisors is an integer number (4642211250).

Almost surely, 2^{2072039840640} is an apocalyptic number.

2072039840640 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 2072039840640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4753624320000).

2072039840640 is an abundant number, since it is smaller than the sum of its proper divisors (7435208799360).

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

2072039840640 is a wasteful number, since it uses less digits than its factorization.

2072039840640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 2072039840640 in words is "two trillion, seventy-two billion, thirty-nine million, eight hundred forty thousand, six hundred forty".