2141574462720 has 1296 divisors, whose sum is σ = 9441677831040. Its totient is φ = 443171635200.

The previous prime is 2141574462637. The next prime is 2141574462761. The reversal of 2141574462720 is 272644751412.

2141574462720 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 574 + 4 + 6 + 2 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1931085526 + ... + 1931086634.

It is an arithmetic number, because the mean of its divisors is an integer number (7285245240).

Almost surely, 2^{2141574462720} is an apocalyptic number.

2141574462720 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 2141574462720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4720838915520).

2141574462720 is an abundant number, since it is smaller than the sum of its proper divisors (7300103368320).

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

2141574462720 is a wasteful number, since it uses less digits than its factorization.

2141574462720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1448 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 2141574462720 in words is "two trillion, one hundred forty-one billion, five hundred seventy-four million, four hundred sixty-two thousand, seven hundred twenty".