2503379214336 has 1344 divisors, whose sum is σ = 9359026500096. Its totient is φ = 579513876480.

The previous prime is 2503379214319. The next prime is 2503379214361. The reversal of 2503379214336 is 6334129733052.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86323421170 + ... + 86323421198.

It is an arithmetic number, because the mean of its divisors is an integer number (6963561384).

Almost surely, 2^{2503379214336} is an apocalyptic number.

2503379214336 is a gapful number since it is divisible by the number (26) 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 2503379214336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4679513250048).

2503379214336 is an abundant number, since it is smaller than the sum of its proper divisors (6855647285760).

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

2503379214336 is an equidigital number, since it uses as much as digits as its factorization.

2503379214336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 48.

The spelling of 2503379214336 in words is "two trillion, five hundred three billion, three hundred seventy-nine million, two hundred fourteen thousand, three hundred thirty-six".