2414456540 has 24 divisors (see below), whose sum is σ = 5337220560. Its totient is φ = 914951808.

The previous prime is 2414456461. The next prime is 2414456543. The reversal of 2414456540 is 456544142.

It is a self number, because there is not a number n which added to its sum of digits gives 2414456540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2414456543) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3176537 + ... + 3177296.

It is an arithmetic number, because the mean of its divisors is an integer number (222384190).

Almost surely, 2^2414456540 is an apocalyptic number.

2414456540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2414456540 is an abundant number, since it is smaller than the sum of its proper divisors (2922764020).

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

2414456540 is a wasteful number, since it uses less digits than its factorization.

2414456540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6353861 (or 6353859 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

The square root of 2414456540 is about 49137.1197772112. The cubic root of 2414456540 is about 1341.5487661701.

The spelling of 2414456540 in words is "two billion, four hundred fourteen million, four hundred fifty-six thousand, five hundred forty".