2506333764144 has 240 divisors, whose sum is σ = 7931235761280. Its totient is φ = 678146273280.

The previous prime is 2506333764131. The next prime is 2506333764161. The reversal of 2506333764144 is 4414673336052.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 2506333764093 and 2506333764102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135886987 + ... + 135905429.

It is an arithmetic number, because the mean of its divisors is an integer number (33046815672).

Almost surely, 2^{2506333764144} is an apocalyptic number.

2506333764144 is a gapful number since it is divisible by the number (24) 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 2506333764144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3965617880640).

2506333764144 is an abundant number, since it is smaller than the sum of its proper divisors (5424901997136).

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

2506333764144 is a wasteful number, since it uses less digits than its factorization.

2506333764144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21528 (or 21515 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 48.

The spelling of 2506333764144 in words is "two trillion, five hundred six billion, three hundred thirty-three million, seven hundred sixty-four thousand, one hundred forty-four".