2141752874040 has 256 divisors, whose sum is σ = 7692703401600. Its totient is φ = 526901760000.

The previous prime is 2141752874029. The next prime is 2141752874047. The reversal of 2141752874040 is 404782571412.

2141752874040 is a `hidden beast` number, since 2 + 1 + 4 + 17 + 528 + 74 + 0 + 40 = 666.

It is a super-3 number, since 3×2141752874040³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141752874047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25243690 + ... + 25328390.

Almost surely, 2^{2141752874040} is an apocalyptic number.

2141752874040 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 2141752874040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3846351700800).

2141752874040 is an abundant number, since it is smaller than the sum of its proper divisors (5550950527560).

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

2141752874040 is a wasteful number, since it uses less digits than its factorization.

2141752874040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86535 (or 86525 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 2141752874040 in words is "two trillion, one hundred forty-one billion, seven hundred fifty-two million, eight hundred seventy-four thousand, forty".