2142996480 has 384 divisors, whose sum is σ = 7972473600. Its totient is φ = 544997376.

The previous prime is 2142996469. The next prime is 2142996481. The reversal of 2142996480 is 846992412.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2142996481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6358872 + ... + 6359208.

It is an arithmetic number, because the mean of its divisors is an integer number (20761650).

Almost surely, 2^2142996480 is an apocalyptic number.

2142996480 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 2142996480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3986236800).

2142996480 is an abundant number, since it is smaller than the sum of its proper divisors (5829477120).

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

2142996480 is a wasteful number, since it uses less digits than its factorization.

2142996480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 2142996480 is about 46292.5099773171. The cubic root of 2142996480 is about 1289.2599324573.

The spelling of 2142996480 in words is "two billion, one hundred forty-two million, nine hundred ninety-six thousand, four hundred eighty".