2071057040 has 80 divisors (see below), whose sum is σ = 5364500400. Its totient is φ = 738318336.

The previous prime is 2071056997. The next prime is 2071057061. The reversal of 2071057040 is 407501702.

It can be written as a sum of positive squares in 8 ways, for example, as 29463184 + 2041593856 = 5428^2 + 45184^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4175 + ... + 64494.

It is an arithmetic number, because the mean of its divisors is an integer number (67056255).

Almost surely, 2^2071057040 is an apocalyptic number.

2071057040 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 2071057040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2682250200).

2071057040 is an abundant number, since it is smaller than the sum of its proper divisors (3293443360).

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

2071057040 is a wasteful number, since it uses less digits than its factorization.

2071057040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68724 (or 68718 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 26.

The square root of 2071057040 is about 45508.8677072941. The cubic root of 2071057040 is about 1274.6687931188.

Adding to 2071057040 its reverse (407501702), we get a palindrome (2478558742).

The spelling of 2071057040 in words is "two billion, seventy-one million, fifty-seven thousand, forty".