2142355440 has 160 divisors (see below), whose sum is σ = 6925842432. Its totient is φ = 547200000.

The previous prime is 2142355429. The next prime is 2142355451. The reversal of 2142355440 is 445532412.

It is an interprime number because it is at equal distance from previous prime (2142355429) and next prime (2142355451).

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 = 2142355398 and 2142355407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 750015 + ... + 752865.

Almost surely, 2^2142355440 is an apocalyptic number.

2142355440 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 2142355440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3462921216).

2142355440 is an abundant number, since it is smaller than the sum of its proper divisors (4783486992).

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

2142355440 is a wasteful number, since it uses less digits than its factorization.

2142355440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2999 (or 2993 counting only the distinct ones).

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

The square root of 2142355440 is about 46285.5856611969. The cubic root of 2142355440 is about 1289.1313664336.

Adding to 2142355440 its reverse (445532412), we get a palindrome (2587887852).

The spelling of 2142355440 in words is "two billion, one hundred forty-two million, three hundred fifty-five thousand, four hundred forty".