2171261030400 has 3744 divisors, whose sum is σ = 10671019868160. Its totient is φ = 427327488000.

The previous prime is 2171261030399. The next prime is 2171261030401. The reversal of 2171261030400 is 40301621712.

2171261030400 is a `hidden beast` number, since 2 + 1 + 7 + 1 + 2 + 610 + 3 + 0 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2171261030399) and next prime (2171261030401).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2171261030401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 46197043177 + ... + 46197043223.

Almost surely, 2^{2171261030400} is an apocalyptic number.

2171261030400 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 2171261030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5335509934080).

2171261030400 is an abundant number, since it is smaller than the sum of its proper divisors (8499758837760).

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

2171261030400 is a wasteful number, since it uses less digits than its factorization.

2171261030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 2171261030400 in words is "two trillion, one hundred seventy-one billion, two hundred sixty-one million, thirty thousand, four hundred".