2171924241520 has 240 divisors, whose sum is σ = 5651692956000. Its totient is φ = 775429079040.

The previous prime is 2171924241499. The next prime is 2171924241533. The reversal of 2171924241520 is 251424291712.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 576258196 + ... + 576261964.

It is an arithmetic number, because the mean of its divisors is an integer number (23548720650).

Almost surely, 2^{2171924241520} is an apocalyptic number.

2171924241520 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 2171924241520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2825846478000).

2171924241520 is an abundant number, since it is smaller than the sum of its proper divisors (3479768714480).

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

2171924241520 is a wasteful number, since it uses less digits than its factorization.

2171924241520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4872 (or 4855 counting only the distinct ones).

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

The spelling of 2171924241520 in words is "two trillion, one hundred seventy-one billion, nine hundred twenty-four million, two hundred forty-one thousand, five hundred twenty".