2501741440 has 64 divisors (see below), whose sum is σ = 6524446320. Its totient is φ = 909721600.

The previous prime is 2501741413. The next prime is 2501741497. The reversal of 2501741440 is 441471052.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2501741440² = 12517420465226547200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2501741399 and 2501741408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170641 + ... + 184720.

Almost surely, 2^2501741440 is an apocalyptic number.

2501741440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2501741440 is an abundant number, since it is smaller than the sum of its proper divisors (4022704880).

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

2501741440 is a wasteful number, since it uses less digits than its factorization.

2501741440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355391 (or 355379 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 2501741440 is about 50017.4113684425. The cubic root of 2501741440 is about 1357.5238681820.

The spelling of 2501741440 in words is "two billion, five hundred one million, seven hundred forty-one thousand, four hundred forty".