2064652872100 has 243 divisors, whose sum is σ = 5647094693667. Its totient is φ = 653014776960.

The previous prime is 2064652872089. The next prime is 2064652872101. The reversal of 2064652872100 is 12782564602.

It is a happy number.

The square root of 2064652872100 is 1436890.

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 532167332004 + 1532485540096 = 729498^2 + 1237936^2 .

It is not an unprimeable number, because it can be changed into a prime (2064652872101) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1307569111 + ... + 1307570689.

Almost surely, 2^{2064652872100} is an apocalyptic number.

2064652872100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2064652872100 is the 1436890-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2064652872100

2064652872100 is an abundant number, since it is smaller than the sum of its proper divisors (3582441821567).

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

2064652872100 is a wasteful number, since it uses less digits than its factorization.

2064652872100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3212 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The spelling of 2064652872100 in words is "two trillion, sixty-four billion, six hundred fifty-two million, eight hundred seventy-two thousand, one hundred".