2175861006400 has 63 divisors (see below), whose sum is σ = 5354123177559. Its totient is φ = 870320801280.

The previous prime is 2175861006353. The next prime is 2175861006401. The reversal of 2175861006400 is 46001685712.

The square root of 2175861006400 is 1475080.

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 174971543616 + 2000889462784 = 418296^2 + 1414528^2 .

It is a super-2 number, since 2×2175861006400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2175861006401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 58984762 + ... + 59021638.

Almost surely, 2^{2175861006400} is an apocalyptic number.

2175861006400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2175861006400 is the 1475080-th square number.

It is an amenable number.

2175861006400 is an abundant number, since it is smaller than the sum of its proper divisors (3178262171159).

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

2175861006400 is an frugal number, since it uses more digits than its factorization.

2175861006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73776 (or 36884 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 2175861006400 in words is "two trillion, one hundred seventy-five billion, eight hundred sixty-one million, six thousand, four hundred".