2141525412000 has 576 divisors, whose sum is σ = 8440976718720. Its totient is φ = 527140224000.

The previous prime is 2141525411957. The next prime is 2141525412031. The reversal of 2141525412000 is 2145251412.

It is a happy number.

2141525412000 is a `hidden beast` number, since 2 + 1 + 415 + 2 + 5 + 41 + 200 + 0 = 666.

It is a super-2 number, since 2×2141525412000² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18193335 + ... + 18310665.

It is an arithmetic number, because the mean of its divisors is an integer number (14654473470).

Almost surely, 2^{2141525412000} is an apocalyptic number.

2141525412000 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 2141525412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4220488359360).

2141525412000 is an abundant number, since it is smaller than the sum of its proper divisors (6299451306720).

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

2141525412000 is a wasteful number, since it uses less digits than its factorization.

2141525412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117391 (or 117354 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 2141525412000 in words is "two trillion, one hundred forty-one billion, five hundred twenty-five million, four hundred twelve thousand".