2642541840 has 320 divisors, whose sum is σ = 9516890880. Its totient is φ = 673320960.

The previous prime is 2642541817. The next prime is 2642541883. The reversal of 2642541840 is 481452462.

2642541840 is a `hidden beast` number, since 2 + 642 + 5 + 4 + 1 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2642541795 and 2642541804.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4693399 + ... + 4693961.

It is an arithmetic number, because the mean of its divisors is an integer number (29740284).

Almost surely, 2^2642541840 is an apocalyptic number.

2642541840 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 2642541840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4758445440).

2642541840 is an abundant number, since it is smaller than the sum of its proper divisors (6874349040).

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

2642541840 is a wasteful number, since it uses less digits than its factorization.

2642541840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2642541840 is about 51405.6596105915. The cubic root of 2642541840 is about 1382.5280691294.

It can be divided in two parts, 26425 and 41840, that added together give a triangular number (68265 = T₃₆₉).

The spelling of 2642541840 in words is "two billion, six hundred forty-two million, five hundred forty-one thousand, eight hundred forty".