2514423364002 has 192 divisors, whose sum is σ = 6463407000960. Its totient is φ = 697774694400.

The previous prime is 2514423363989. The next prime is 2514423364021. The reversal of 2514423364002 is 2004633244152.

2514423364002 is a `hidden beast` number, since 2 + 5 + 1 + 4 + 4 + 2 + 3 + 3 + 640 + 0 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52280238 + ... + 52328310.

It is an arithmetic number, because the mean of its divisors is an integer number (33663578130).

Almost surely, 2^{2514423364002} is an apocalyptic number.

2514423364002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2514423364002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3231703500480).

2514423364002 is an abundant number, since it is smaller than the sum of its proper divisors (3948983636958).

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

2514423364002 is a wasteful number, since it uses less digits than its factorization.

2514423364002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48529 (or 48526 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 2514423364002 in words is "two trillion, five hundred fourteen billion, four hundred twenty-three million, three hundred sixty-four thousand, two".