2592781920 has 192 divisors, whose sum is σ = 9164413440. Its totient is φ = 684578304.

The previous prime is 2592781907. The next prime is 2592781951. The reversal of 2592781920 is 291872952.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 442047 + ... + 447873.

It is an arithmetic number, because the mean of its divisors is an integer number (47731320).

Almost surely, 2^2592781920 is an apocalyptic number.

2592781920 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 2592781920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4582206720).

2592781920 is an abundant number, since it is smaller than the sum of its proper divisors (6571631520).

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

2592781920 is a wasteful number, since it uses less digits than its factorization.

2592781920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5954 (or 5940 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 2592781920 is about 50919.3668460243. The cubic root of 2592781920 is about 1373.7952060286.

The spelling of 2592781920 in words is "two billion, five hundred ninety-two million, seven hundred eighty-one thousand, nine hundred twenty".