2084072760 has 512 divisors, whose sum is σ = 9123840000. Its totient is φ = 409950720.

The previous prime is 2084072737. The next prime is 2084072761. The reversal of 2084072760 is 672704802.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2084072761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1579381 + ... + 1580699.

It is an arithmetic number, because the mean of its divisors is an integer number (17820000).

Almost surely, 2^2084072760 is an apocalyptic number.

2084072760 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 2084072760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4561920000).

2084072760 is an abundant number, since it is smaller than the sum of its proper divisors (7039767240).

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

2084072760 is a wasteful number, since it uses less digits than its factorization.

2084072760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 2084072760 is about 45651.6457534665. The cubic root of 2084072760 is about 1277.3334706840. Note that the first 3 decimals are identical.

The spelling of 2084072760 in words is "two billion, eighty-four million, seventy-two thousand, seven hundred sixty".