2141764501968 has 1280 divisors, whose sum is σ = 8205030400000. Its totient is φ = 530019624960.

The previous prime is 2141764501937. The next prime is 2141764501979. The reversal of 2141764501968 is 8691054671412.

2141764501968 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 76 + 4 + 501 + 9 + 68 = 666.

It is a super-3 number, since 3×2141764501968³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5087326398 + ... + 5087326818.

It is an arithmetic number, because the mean of its divisors is an integer number (6410180000).

Almost surely, 2^{2141764501968} is an apocalyptic number.

2141764501968 is a gapful number since it is divisible by the number (28) 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 2141764501968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4102515200000).

2141764501968 is an abundant number, since it is smaller than the sum of its proper divisors (6063265898032).

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

2141764501968 is a wasteful number, since it uses less digits than its factorization.

2141764501968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 2141764501968 in words is "two trillion, one hundred forty-one billion, seven hundred sixty-four million, five hundred one thousand, nine hundred sixty-eight".