2650142880 has 768 divisors, whose sum is σ = 11983749120. Its totient is φ = 530841600.

The previous prime is 2650142867. The next prime is 2650142881. The reversal of 2650142880 is 882410562.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2650142881) 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, 10311712 + ... + 10311968.

It is an arithmetic number, because the mean of its divisors is an integer number (15603840).

Almost surely, 2^2650142880 is an apocalyptic number.

2650142880 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 2650142880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5991874560).

2650142880 is an abundant number, since it is smaller than the sum of its proper divisors (9333606240).

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

2650142880 is a wasteful number, since it uses less digits than its factorization.

2650142880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2650142880 is about 51479.5384594695. The cubic root of 2650142880 is about 1383.8523737980.

It can be divided in two parts, 2650 and 142880, that added together give a triangular number (145530 = T₅₃₉).

The spelling of 2650142880 in words is "two billion, six hundred fifty million, one hundred forty-two thousand, eight hundred eighty".