2541373640 has 96 divisors (see below), whose sum is σ = 6238005480. Its totient is φ = 926306304.

The previous prime is 2541373631. The next prime is 2541373697. The reversal of 2541373640 is 463731452.

It can be written as a sum of positive squares in 12 ways, for example, as 611177284 + 1930196356 = 24722^2 + 43934^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2541373640.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4118612 + ... + 4119228.

Almost surely, 2^2541373640 is an apocalyptic number.

2541373640 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 2541373640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3119002740).

2541373640 is an abundant number, since it is smaller than the sum of its proper divisors (3696631840).

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

2541373640 is a wasteful number, since it uses less digits than its factorization.

2541373640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

The square root of 2541373640 is about 50412.0386415785. The cubic root of 2541373640 is about 1364.6549043305.

The spelling of 2541373640 in words is "two billion, five hundred forty-one million, three hundred seventy-three thousand, six hundred forty".