2187964952160 has 384 divisors, whose sum is σ = 7544330067456. Its totient is φ = 529774264320.

The previous prime is 2187964952143. The next prime is 2187964952233. The reversal of 2187964952160 is 612594697812.

It is a super-2 number, since 2×2187964952160² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 2187964952094 and 2187964952103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120666295 + ... + 120684425.

It is an arithmetic number, because the mean of its divisors is an integer number (19646692884).

Almost surely, 2^{2187964952160} is an apocalyptic number.

2187964952160 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 2187964952160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3772165033728).

2187964952160 is an abundant number, since it is smaller than the sum of its proper divisors (5356365115296).

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

2187964952160 is a wasteful number, since it uses less digits than its factorization.

2187964952160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18478 (or 18470 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 60.

The spelling of 2187964952160 in words is "two trillion, one hundred eighty-seven billion, nine hundred sixty-four million, nine hundred fifty-two thousand, one hundred sixty".