2167428783960 has 192 divisors, whose sum is σ = 7685574624000. Its totient is φ = 525365187840.

The previous prime is 2167428783959. The next prime is 2167428783997. The reversal of 2167428783960 is 693878247612.

2167428783960 is a `hidden beast` number, since 2 + 167 + 4 + 2 + 87 + 8 + 396 + 0 = 666.

It is a Cunningham number, because it is equal to 1472219²-1.

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, 32355381 + ... + 32422299.

It is an arithmetic number, because the mean of its divisors is an integer number (40029034500).

Almost surely, 2^{2167428783960} is an apocalyptic number.

2167428783960 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 2167428783960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3842787312000).

2167428783960 is an abundant number, since it is smaller than the sum of its proper divisors (5518145840040).

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

2167428783960 is a wasteful number, since it uses less digits than its factorization.

2167428783960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75126 (or 75119 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 2167428783960 in words is "two trillion, one hundred sixty-seven billion, four hundred twenty-eight million, seven hundred eighty-three thousand, nine hundred sixty".