2072074789440 has 840 divisors, whose sum is σ = 8083291805952. Its totient is φ = 503217930240.

The previous prime is 2072074789427. The next prime is 2072074789441. The reversal of 2072074789440 is 449874702702.

2072074789440 is a `hidden beast` number, since 20 + 7 + 20 + 7 + 478 + 94 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2072074789441) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 232212819 + ... + 232221741.

Almost surely, 2^{2072074789440} is an apocalyptic number.

2072074789440 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 2072074789440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4041645902976).

2072074789440 is an abundant number, since it is smaller than the sum of its proper divisors (6011217016512).

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

2072074789440 is a wasteful number, since it uses less digits than its factorization.

2072074789440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9017 (or 8981 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 2072074789440 in words is "two trillion, seventy-two billion, seventy-four million, seven hundred eighty-nine thousand, four hundred forty".