2652042120 has 256 divisors, whose sum is σ = 9847111680. Its totient is φ = 556416000.

The previous prime is 2652042119. The next prime is 2652042137. The reversal of 2652042120 is 212402562.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 2303545 + ... + 2304695.

It is an arithmetic number, because the mean of its divisors is an integer number (38465280).

Almost surely, 2^2652042120 is an apocalyptic number.

2652042120 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 2652042120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4923555840).

2652042120 is an abundant number, since it is smaller than the sum of its proper divisors (7195069560).

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

2652042120 is a wasteful number, since it uses less digits than its factorization.

2652042120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2652042120 is about 51497.9817080242. The cubic root of 2652042120 is about 1384.1828767553.

Adding to 2652042120 its reverse (212402562), we get a palindrome (2864444682).

The spelling of 2652042120 in words is "two billion, six hundred fifty-two million, forty-two thousand, one hundred twenty".