2538673920 has 576 divisors, whose sum is σ = 9933840000. Its totient is φ = 611057664.

The previous prime is 2538673919. The next prime is 2538674093. The reversal of 2538673920 is 293768352.

2538673920 is a `hidden beast` number, since 2 + 538 + 67 + 39 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 63 ways as a sum of consecutive naturals, for example, 17038006 + ... + 17038154.

It is an arithmetic number, because the mean of its divisors is an integer number (17246250).

Almost surely, 2^2538673920 is an apocalyptic number.

2538673920 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 2538673920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4966920000).

2538673920 is an abundant number, since it is smaller than the sum of its proper divisors (7395166080).

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

2538673920 is a wasteful number, since it uses less digits than its factorization.

2538673920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 2538673920 is about 50385.2549859579. The cubic root of 2538673920 is about 1364.1715054538.

The spelling of 2538673920 in words is "two billion, five hundred thirty-eight million, six hundred seventy-three thousand, nine hundred twenty".