2114576499840 has 256 divisors, whose sum is σ = 7726388567040. Its totient is φ = 481870540800.

The previous prime is 2114576499839. The next prime is 2114576499851. The reversal of 2114576499840 is 489946754112.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4210975 + ... + 4686305.

It is an arithmetic number, because the mean of its divisors is an integer number (30181205340).

Almost surely, 2^{2114576499840} is an apocalyptic number.

2114576499840 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 2114576499840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3863194283520).

2114576499840 is an abundant number, since it is smaller than the sum of its proper divisors (5611812067200).

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

2114576499840 is a wasteful number, since it uses less digits than its factorization.

2114576499840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475691 (or 475679 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 60.

The spelling of 2114576499840 in words is "two trillion, one hundred fourteen billion, five hundred seventy-six million, four hundred ninety-nine thousand, eight hundred forty".