2140816701408 has 384 divisors, whose sum is σ = 7378923847680. Its totient is φ = 526514411520.

The previous prime is 2140816701347. The next prime is 2140816701461. The reversal of 2140816701408 is 8041076180412.

It is a Cunningham number, because it is equal to 1463153²-1.

It is a super-2 number, since 2×2140816701408² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 2140816701408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 444796410 + ... + 444801222.

It is an arithmetic number, because the mean of its divisors is an integer number (19215947520).

Almost surely, 2^{2140816701408} is an apocalyptic number.

2140816701408 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 2140816701408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3689461923840).

2140816701408 is an abundant number, since it is smaller than the sum of its proper divisors (5238107146272).

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

2140816701408 is a wasteful number, since it uses less digits than its factorization.

2140816701408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8030 (or 8022 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The spelling of 2140816701408 in words is "two trillion, one hundred forty billion, eight hundred sixteen million, seven hundred one thousand, four hundred eight".