2414740000000 has 144 divisors (see below), whose sum is σ = 6025093755408. Its totient is φ = 965888000000.

The previous prime is 2414739999977. The next prime is 2414740000039. The reversal of 2414740000000 is 474142.

It can be written as a sum of positive squares in 8 ways, for example, as 2272182405376 + 142557594624 = 1507376^2 + 377568^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19939632 + ... + 20060368.

It is an arithmetic number, because the mean of its divisors is an integer number (41840928857).

Almost surely, 2^{2414740000000} is an apocalyptic number.

2414740000000 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 2414740000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3012546877704).

2414740000000 is an abundant number, since it is smaller than the sum of its proper divisors (3610353755408).

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

2414740000000 is an frugal number, since it uses more digits than its factorization.

2414740000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120788 (or 120744 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 22.

Adding to 2414740000000 its reverse (474142), we get a palindrome (2414740474142).

The spelling of 2414740000000 in words is "two trillion, four hundred fourteen billion, seven hundred forty million", and thus it is an aban number.