2072889840 has 320 divisors, whose sum is σ = 7673794560. Its totient is φ = 452874240.

The previous prime is 2072889839. The next prime is 2072889853. The reversal of 2072889840 is 489882702.

It is a Cunningham number, because it is equal to 45529²-1.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2072889840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7648905 + ... + 7649175.

It is an arithmetic number, because the mean of its divisors is an integer number (23980608).

Almost surely, 2^2072889840 is an apocalyptic number.

2072889840 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 2072889840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3836897280).

2072889840 is an abundant number, since it is smaller than the sum of its proper divisors (5600904720).

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

2072889840 is a wasteful number, since it uses less digits than its factorization.

2072889840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 2072889840 is about 45528.9999890180. Note that the first 4 decimals coincide. The cubic root of 2072889840 is about 1275.0446920128.

The spelling of 2072889840 in words is "two billion, seventy-two million, eight hundred eighty-nine thousand, eight hundred forty".