2152266541200 has 480 divisors, whose sum is σ = 7731395992320. Its totient is φ = 568647475200.

The previous prime is 2152266541133. The next prime is 2152266541231. The reversal of 2152266541200 is 21456622512.

2152266541200 is a `hidden beast` number, since 2 + 1 + 52 + 2 + 66 + 541 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×2152266541200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 607811430 + ... + 607814970.

It is an arithmetic number, because the mean of its divisors is an integer number (16107074984).

Almost surely, 2^{2152266541200} is an apocalyptic number.

2152266541200 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 2152266541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3865697996160).

2152266541200 is an abundant number, since it is smaller than the sum of its proper divisors (5579129451120).

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

2152266541200 is a wasteful number, since it uses less digits than its factorization.

2152266541200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4072 (or 4055 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 2152266541200 in words is "two trillion, one hundred fifty-two billion, two hundred sixty-six million, five hundred forty-one thousand, two hundred".