2099961490464 has 288 divisors, whose sum is σ = 6152145592320. Its totient is φ = 679127348736.

The previous prime is 2099961490463. The next prime is 2099961490531. The reversal of 2099961490464 is 4640941699902.

2099961490464 is a `hidden beast` number, since 2 + 0 + 9 + 9 + 9 + 614 + 9 + 0 + 4 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2099961490464² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2099961490463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1056849279 + ... + 1056851265.

It is an arithmetic number, because the mean of its divisors is an integer number (21361616640).

Almost surely, 2^{2099961490464} is an apocalyptic number.

2099961490464 is a gapful number since it is divisible by the number (24) 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 2099961490464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3076072796160).

2099961490464 is an abundant number, since it is smaller than the sum of its proper divisors (4052184101856).

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

2099961490464 is a wasteful number, since it uses less digits than its factorization.

2099961490464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2692 (or 2681 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 63.

The spelling of 2099961490464 in words is "two trillion, ninety-nine billion, nine hundred sixty-one million, four hundred ninety thousand, four hundred sixty-four".