2149814459520 has 1024 divisors, whose sum is σ = 9562573440000. Its totient is φ = 453570969600.

The previous prime is 2149814459509. The next prime is 2149814459521. The reversal of 2149814459520 is 259544189412.

2149814459520 is a `hidden beast` number, since 2 + 1 + 4 + 9 + 8 + 1 + 44 + 595 + 2 + 0 = 666.

It is a super-2 number, since 2×2149814459520² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2149814459521) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 77037570 + ... + 77065470.

It is an arithmetic number, because the mean of its divisors is an integer number (9338450625).

Almost surely, 2^{2149814459520} is an apocalyptic number.

2149814459520 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 2149814459520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4781286720000).

2149814459520 is an abundant number, since it is smaller than the sum of its proper divisors (7412758980480).

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

2149814459520 is a wasteful number, since it uses less digits than its factorization.

2149814459520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27963 (or 27931 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 2149814459520 in words is "two trillion, one hundred forty-nine billion, eight hundred fourteen million, four hundred fifty-nine thousand, five hundred twenty".