2114261520 has 160 divisors (see below), whose sum is σ = 7506400512. Its totient is φ = 482236416.

The previous prime is 2114261467. The next prime is 2114261549. The reversal of 2114261520 is 251624112.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1028814 + ... + 1030866.

Almost surely, 2^2114261520 is an apocalyptic number.

2114261520 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 2114261520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3753200256).

2114261520 is an abundant number, since it is smaller than the sum of its proper divisors (5392138992).

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

2114261520 is a wasteful number, since it uses less digits than its factorization.

2114261520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2689 (or 2683 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 2114261520 is about 45981.0995953772. The cubic root of 2114261520 is about 1283.4715170632.

Adding to 2114261520 its reverse (251624112), we get a palindrome (2365885632).

The spelling of 2114261520 in words is "two billion, one hundred fourteen million, two hundred sixty-one thousand, five hundred twenty".