2238776451072 has 1344 divisors, whose sum is σ = 8471714832000. Its totient is φ = 579877208064.

The previous prime is 2238776451071. The next prime is 2238776451097. The reversal of 2238776451072 is 2701546778322.

It is a happy number.

2238776451072 is a `hidden beast` number, since 22 + 38 + 7 + 7 + 6 + 4 + 510 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2238776451071) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5343141679 + ... + 5343142097.

It is an arithmetic number, because the mean of its divisors is an integer number (6303359250).

Almost surely, 2^{2238776451072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2238776451072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4235857416000).

2238776451072 is an abundant number, since it is smaller than the sum of its proper divisors (6232938380928).

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

2238776451072 is a wasteful number, since it uses less digits than its factorization.

2238776451072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 2238776451072 in words is "two trillion, two hundred thirty-eight billion, seven hundred seventy-six million, four hundred fifty-one thousand, seventy-two".