2418274749440 has 352 divisors, whose sum is σ = 6412972608000. Its totient is φ = 867678289920.

The previous prime is 2418274749419. The next prime is 2418274749461. The reversal of 2418274749440 is 449474728142.

It is an interprime number because it is at equal distance from previous prime (2418274749419) and next prime (2418274749461).

It is a tau number, because it is divible by the number of its divisors (352).

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 31 ways as a sum of consecutive naturals, for example, 3272360591 + ... + 3272361329.

Almost surely, 2^{2418274749440} is an apocalyptic number.

2418274749440 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 2418274749440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3206486304000).

2418274749440 is an abundant number, since it is smaller than the sum of its proper divisors (3994697858560).

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

2418274749440 is a wasteful number, since it uses less digits than its factorization.

2418274749440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 56.

The spelling of 2418274749440 in words is "two trillion, four hundred eighteen billion, two hundred seventy-four million, seven hundred forty-nine thousand, four hundred forty".