2070723878001 has 45 divisors (see below), whose sum is σ = 3109816333393. Its totient is φ = 1373152314240.

The previous prime is 2070723877973. The next prime is 2070723878021. The reversal of 2070723878001 is 1008783270702.

It is a happy number.

The square root of 2070723878001 is 1439001.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 72119639601 + 1998604238400 = 268551^2 + 1413720^2 .

It is not a de Polignac number, because 2070723878001 - 2¹⁵ = 2070723845233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2070723878021) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3639233245 + ... + 3639233813.

Almost surely, 2^{2070723878001} is an apocalyptic number.

2070723878001 is the 1439001-st square number.

2070723878001 is the 719501-st centered octagonal number.

It is an amenable number.

2070723878001 is a deficient number, since it is larger than the sum of its proper divisors (1039092455392).

2070723878001 is an frugal number, since it uses more digits than its factorization.

2070723878001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1712 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 2070723878001 in words is "two trillion, seventy billion, seven hundred twenty-three million, eight hundred seventy-eight thousand, one".