2186955954960 has 640 divisors, whose sum is σ = 8191155732480. Its totient is φ = 472783601664.

The previous prime is 2186955954949. The next prime is 2186955954973. The reversal of 2186955954960 is 694595596812.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1982733769 + ... + 1982734871.

It is an arithmetic number, because the mean of its divisors is an integer number (12798680832).

Almost surely, 2^{2186955954960} is an apocalyptic number.

2186955954960 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 2186955954960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4095577866240).

2186955954960 is an abundant number, since it is smaller than the sum of its proper divisors (6004199777520).

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

2186955954960 is a wasteful number, since it uses less digits than its factorization.

2186955954960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 209952000, while the sum is 69.

The spelling of 2186955954960 in words is "two trillion, one hundred eighty-six billion, nine hundred fifty-five million, nine hundred fifty-four thousand, nine hundred sixty".