2642855040 has 320 divisors, whose sum is σ = 10787895360. Its totient is φ = 603998208.

The previous prime is 2642855023. The next prime is 2642855063. The reversal of 2642855040 is 405582462.

It is a happy number.

2642855040 is a `hidden beast` number, since 2 + 64 + 2 + 8 + 550 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 = 2642854986 and 2642855004.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 359239 + ... + 366521.

It is an arithmetic number, because the mean of its divisors is an integer number (33712173).

Almost surely, 2^2642855040 is an apocalyptic number.

2642855040 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 2642855040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5393947680).

2642855040 is an abundant number, since it is smaller than the sum of its proper divisors (8145040320).

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

2642855040 is an equidigital number, since it uses as much as digits as its factorization.

2642855040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7321 (or 7300 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 2642855040 is about 51408.7058775068. The cubic root of 2642855040 is about 1382.5826870833.

The spelling of 2642855040 in words is "two billion, six hundred forty-two million, eight hundred fifty-five thousand, forty".