2642141040 has 160 divisors (see below), whose sum is σ = 10211774976. Its totient is φ = 549012480.

The previous prime is 2642141023. The next prime is 2642141041. The reversal of 2642141040 is 401412462.

It is a happy number.

It is a super-3 number, since 3×2642141040³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2642141040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2642141041) 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, 53007 + ... + 89966.

Almost surely, 2^2642141040 is an apocalyptic number.

2642141040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2642141040 is an abundant number, since it is smaller than the sum of its proper divisors (7569633936).

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

2642141040 is a wasteful number, since it uses less digits than its factorization.

2642141040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143007 (or 143001 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2642141040 is about 51401.7610593256. The cubic root of 2642141040 is about 1382.4581685941.

The spelling of 2642141040 in words is "two billion, six hundred forty-two million, one hundred forty-one thousand, forty".