2014992239520 has 768 divisors, whose sum is σ = 7392719093760. Its totient is φ = 457423110144.

The previous prime is 2014992239509. The next prime is 2014992239567. The reversal of 2014992239520 is 259322994102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2014992239520.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 487535374 + ... + 487539506.

It is an arithmetic number, because the mean of its divisors is an integer number (9625936320).

Almost surely, 2^{2014992239520} is an apocalyptic number.

2014992239520 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 2014992239520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3696359546880).

2014992239520 is an abundant number, since it is smaller than the sum of its proper divisors (5377726854240).

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

2014992239520 is a wasteful number, since it uses less digits than its factorization.

2014992239520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4309 (or 4301 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The spelling of 2014992239520 in words is "two trillion, fourteen billion, nine hundred ninety-two million, two hundred thirty-nine thousand, five hundred twenty".