2142455040 has 648 divisors, whose sum is σ = 8587804680. Its totient is φ = 492011520.

The previous prime is 2142454999. The next prime is 2142455087. The reversal of 2142455040 is 405542412.

It can be written as a sum of positive squares in 4 ways, for example, as 402564096 + 1739890944 = 20064^2 + 41712^2 .

It is a super-2 number, since 2×2142455040² = 9180227196842803200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2142454995 and 2142455013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40423654 + ... + 40423706.

It is an arithmetic number, because the mean of its divisors is an integer number (13252785).

Almost surely, 2^2142455040 is an apocalyptic number.

2142455040 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 2142455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4293902340).

2142455040 is an abundant number, since it is smaller than the sum of its proper divisors (6445349640).

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

2142455040 is a wasteful number, since it uses less digits than its factorization.

2142455040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 2142455040 is about 46286.6615776079. The cubic root of 2142455040 is about 1289.1513437433.

Adding to 2142455040 its reverse (405542412), we get a palindrome (2547997452).

The spelling of 2142455040 in words is "two billion, one hundred forty-two million, four hundred fifty-five thousand, forty".