2142517970440 has 32 divisors (see below), whose sum is σ = 4820770872000. Its totient is φ = 856988443584.

The previous prime is 2142517970407. The next prime is 2142517970473. The reversal of 2142517970440 is 440797152412.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2142517970407) and next prime (2142517970473).

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 7 ways as a sum of consecutive naturals, for example, 1344421 + ... + 2468299.

It is an arithmetic number, because the mean of its divisors is an integer number (150649089750).

Almost surely, 2^{2142517970440} is an apocalyptic number.

2142517970440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142517970440 is an abundant number, since it is smaller than the sum of its proper divisors (2678252901560).

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

2142517970440 is a wasteful number, since it uses less digits than its factorization.

2142517970440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171549 (or 1171545 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 46.

The spelling of 2142517970440 in words is "two trillion, one hundred forty-two billion, five hundred seventeen million, nine hundred seventy thousand, four hundred forty".