2240438721948 has 288 divisors, whose sum is σ = 6849043568640. Its totient is φ = 627101429760.

The previous prime is 2240438721931. The next prime is 2240438721973. The reversal of 2240438721948 is 8491278340422.

2240438721948 is a `hidden beast` number, since 2 + 2 + 4 + 0 + 4 + 387 + 219 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2240438721894 and 2240438721903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 259275708 + ... + 259284348.

It is an arithmetic number, because the mean of its divisors is an integer number (23781401280).

Almost surely, 2^{2240438721948} is an apocalyptic number.

2240438721948 is a gapful number since it is divisible by the number (28) 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 2240438721948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3424521784320).

2240438721948 is an abundant number, since it is smaller than the sum of its proper divisors (4608604846692).

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

2240438721948 is a wasteful number, since it uses less digits than its factorization.

2240438721948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9439 (or 9425 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 2240438721948 in words is "two trillion, two hundred forty billion, four hundred thirty-eight million, seven hundred twenty-one thousand, nine hundred forty-eight".