2504335533420 has 192 divisors, whose sum is σ = 8050660079616. Its totient is φ = 569795420160.

The previous prime is 2504335533397. The next prime is 2504335533431. The reversal of 2504335533420 is 243355334052.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 152537052 + ... + 152553468.

It is an arithmetic number, because the mean of its divisors is an integer number (41930521248).

Almost surely, 2^{2504335533420} is an apocalyptic number.

2504335533420 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 2504335533420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4025330039808).

2504335533420 is an abundant number, since it is smaller than the sum of its proper divisors (5546324546196).

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

2504335533420 is a wasteful number, since it uses less digits than its factorization.

2504335533420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18080 (or 18078 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 39.

The spelling of 2504335533420 in words is "two trillion, five hundred four billion, three hundred thirty-five million, five hundred thirty-three thousand, four hundred twenty".