2541626640 has 320 divisors, whose sum is σ = 10105067520. Its totient is φ = 575147520.

The previous prime is 2541626617. The next prime is 2541626641. The reversal of 2541626640 is 466261452.

2541626640 is a `hidden beast` number, since 2 + 5 + 4 + 1 + 6 + 2 + 6 + 640 = 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 = 2541626595 and 2541626604.

It is not an unprimeable number, because it can be changed into a prime (2541626641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1617055 + ... + 1618625.

It is an arithmetic number, because the mean of its divisors is an integer number (31578336).

Almost surely, 2^2541626640 is an apocalyptic number.

2541626640 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 2541626640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5052533760).

2541626640 is an abundant number, since it is smaller than the sum of its proper divisors (7563440880).

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

2541626640 is a wasteful number, since it uses less digits than its factorization.

2541626640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707 (or 1695 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2541626640 is about 50414.5479003829. The cubic root of 2541626640 is about 1364.7001877458.

The spelling of 2541626640 in words is "two billion, five hundred forty-one million, six hundred twenty-six thousand, six hundred forty".