2501744640 has 384 divisors, whose sum is σ = 8604610560. Its totient is φ = 619315200.

The previous prime is 2501744617. The next prime is 2501744647. The reversal of 2501744640 is 464471052.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2501744647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35235805 + ... + 35235875.

It is an arithmetic number, because the mean of its divisors is an integer number (22407840).

Almost surely, 2^2501744640 is an apocalyptic number.

2501744640 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 2501744640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4302305280).

2501744640 is an abundant number, since it is smaller than the sum of its proper divisors (6102865920).

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

2501744640 is a wasteful number, since it uses less digits than its factorization.

2501744640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 2501744640 is about 50017.4433572929. The cubic root of 2501744640 is about 1357.5244469888.

The spelling of 2501744640 in words is "two billion, five hundred one million, seven hundred forty-four thousand, six hundred forty".