2503350000144 has 320 divisors, whose sum is σ = 8452464007680. Its totient is φ = 694388090880.

The previous prime is 2503350000127. The next prime is 2503350000149. The reversal of 2503350000144 is 4410000533052.

It is a super-2 number, since 2×2503350000144² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2503350000149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51556102 + ... + 51604634.

It is an arithmetic number, because the mean of its divisors is an integer number (26413950024).

Almost surely, 2^{2503350000144} is an apocalyptic number.

2503350000144 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 2503350000144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4226232003840).

2503350000144 is an abundant number, since it is smaller than the sum of its proper divisors (5949114007536).

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

2503350000144 is a wasteful number, since it uses less digits than its factorization.

2503350000144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49055 (or 49043 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 2503350000144 its reverse (4410000533052), we get a palindrome (6913350533196).

The spelling of 2503350000144 in words is "two trillion, five hundred three billion, three hundred fifty million, one hundred forty-four", and thus it is an aban number.