2503378483200 has 2160 divisors, whose sum is σ = 10982769557760. Its totient is φ = 561842749440.

The previous prime is 2503378483183. The next prime is 2503378483271. The reversal of 2503378483200 is 23848733052.

2503378483200 is a `hidden beast` number, since 2 + 50 + 33 + 78 + 483 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 19711641537 + ... + 19711641663.

It is an arithmetic number, because the mean of its divisors is an integer number (5084615536).

Almost surely, 2^{2503378483200} is an apocalyptic number.

2503378483200 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 2503378483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5491384778880).

2503378483200 is an abundant number, since it is smaller than the sum of its proper divisors (8479391074560).

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

2503378483200 is a wasteful number, since it uses less digits than its factorization.

2503378483200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 2503378483200 in words is "two trillion, five hundred three billion, three hundred seventy-eight million, four hundred eighty-three thousand, two hundred".