2503876491648 has 384 divisors, whose sum is σ = 8518933463040. Its totient is φ = 690782515200.

The previous prime is 2503876491619. The next prime is 2503876491709. The reversal of 2503876491648 is 8461946783052.

2503876491648 is a `hidden beast` number, since 2 + 5 + 0 + 3 + 87 + 6 + 491 + 64 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115231761 + ... + 115253487.

It is an arithmetic number, because the mean of its divisors is an integer number (22184722560).

It is a 1-persistent number, because it is pandigital, but 2⋅2503876491648 = 5007752983296 is not.

Almost surely, 2^{2503876491648} is an apocalyptic number.

2503876491648 is a gapful number since it is divisible by the number (28) 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 2503876491648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4259466731520).

2503876491648 is an abundant number, since it is smaller than the sum of its proper divisors (6015056971392).

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

2503876491648 is a wasteful number, since it uses less digits than its factorization.

2503876491648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22246 (or 22231 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 2503876491648 in words is "two trillion, five hundred three billion, eight hundred seventy-six million, four hundred ninety-one thousand, six hundred forty-eight".