2142553440 has 96 divisors (see below), whose sum is σ = 6760454400. Its totient is φ = 570381824.

The previous prime is 2142553429. The next prime is 2142553459. The reversal of 2142553440 is 443552412.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2142553398 and 2142553407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 307111 + ... + 314009.

It is an arithmetic number, because the mean of its divisors is an integer number (70421400).

Almost surely, 2^2142553440 is an apocalyptic number.

2142553440 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 2142553440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3380227200).

2142553440 is an abundant number, since it is smaller than the sum of its proper divisors (4617900960).

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

2142553440 is a wasteful number, since it uses less digits than its factorization.

2142553440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7564 (or 7556 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 2142553440 is about 46287.7245066119. The cubic root of 2142553440 is about 1289.1710797545.

The spelling of 2142553440 in words is "two billion, one hundred forty-two million, five hundred fifty-three thousand, four hundred forty".