2071607328 has 288 divisors, whose sum is σ = 7013889792. Its totient is φ = 567705600.

The previous prime is 2071607323. The next prime is 2071607389. The reversal of 2071607328 is 8237061702.

2071607328 is a `hidden beast` number, since 20 + 7 + 1 + 607 + 3 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 2071607292 and 2071607301.

It is not an unprimeable number, because it can be changed into a prime (2071607323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5868400 + ... + 5868752.

It is an arithmetic number, because the mean of its divisors is an integer number (24353784).

Almost surely, 2^2071607328 is an apocalyptic number.

2071607328 is a gapful number since it is divisible by the number (28) 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 2071607328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3506944896).

2071607328 is an abundant number, since it is smaller than the sum of its proper divisors (4942282464).

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

2071607328 is a wasteful number, since it uses less digits than its factorization.

2071607328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 2071607328 is about 45514.9132482970. The cubic root of 2071607328 is about 1274.7816779585.

The spelling of 2071607328 in words is "two billion, seventy-one million, six hundred seven thousand, three hundred twenty-eight".