2690873640000 has 840 divisors, whose sum is σ = 11862352582080. Its totient is φ = 567737856000.

The previous prime is 2690873639963. The next prime is 2690873640079. The reversal of 2690873640000 is 463780962.

It is a tau number, because it is divible by the number of its divisors (840).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 32718931 + ... + 32801069.

It is an arithmetic number, because the mean of its divisors is an integer number (14121848312).

Almost surely, 2^{2690873640000} is an apocalyptic number.

2690873640000 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 2690873640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5931176291040).

2690873640000 is an abundant number, since it is smaller than the sum of its proper divisors (9171478942080).

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

2690873640000 is a wasteful number, since it uses less digits than its factorization.

2690873640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82197 (or 82169 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 2690873640000 in words is "two trillion, six hundred ninety billion, eight hundred seventy-three million, six hundred forty thousand".