2654233120 has 768 divisors, whose sum is σ = 9405849600. Its totient is φ = 681246720.

The previous prime is 2654233081. The next prime is 2654233129. The reversal of 2654233120 is 213324562.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (2654233129) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 91525266 + ... + 91525294.

It is an arithmetic number, because the mean of its divisors is an integer number (12247200).

Almost surely, 2^2654233120 is an apocalyptic number.

2654233120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2654233120 is the 25760-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2654233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4702924800).

2654233120 is an abundant number, since it is smaller than the sum of its proper divisors (6751616480).

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

2654233120 is a wasteful number, since it uses less digits than its factorization.

2654233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 2654233120 is about 51519.2499945409. The cubic root of 2654233120 is about 1384.5639554054.

Adding to 2654233120 its reverse (213324562), we get a palindrome (2867557682).

The spelling of 2654233120 in words is "two billion, six hundred fifty-four million, two hundred thirty-three thousand, one hundred twenty".