2873790541440 has 3072 divisors, whose sum is σ = 13618713600000. Its totient is φ = 570621542400.

The previous prime is 2873790541423. The next prime is 2873790541519. The reversal of 2873790541440 is 441450973782.

2873790541440 is a `hidden beast` number, since 2 + 8 + 7 + 3 + 7 + 90 + 541 + 4 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 19031725365 + ... + 19031725515.

It is an arithmetic number, because the mean of its divisors is an integer number (4433175000).

Almost surely, 2^{2873790541440} is an apocalyptic number.

2873790541440 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 2873790541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6809356800000).

2873790541440 is an abundant number, since it is smaller than the sum of its proper divisors (10744923058560).

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

2873790541440 is a wasteful number, since it uses less digits than its factorization.

2873790541440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 2873790541440 in words is "two trillion, eight hundred seventy-three billion, seven hundred ninety million, five hundred forty-one thousand, four hundred forty".