2003634497280 has 1152 divisors, whose sum is σ = 7609522765824. Its totient is φ = 445081190400.

The previous prime is 2003634497279. The next prime is 2003634497353. The reversal of 2003634497280 is 827944363002.

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 127 ways as a sum of consecutive naturals, for example, 1459310674 + ... + 1459312046.

It is an arithmetic number, because the mean of its divisors is an integer number (6605488512).

Almost surely, 2^{2003634497280} is an apocalyptic number.

2003634497280 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 2003634497280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3804761382912).

2003634497280 is an abundant number, since it is smaller than the sum of its proper divisors (5605888268544).

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

2003634497280 is a wasteful number, since it uses less digits than its factorization.

2003634497280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 2003634497280 in words is "two trillion, three billion, six hundred thirty-four million, four hundred ninety-seven thousand, two hundred eighty".