2257004509914 has 128 divisors (see below), whose sum is σ = 5857415184384. Its totient is φ = 567323697600.

The previous prime is 2257004509901. The next prime is 2257004509957. The reversal of 2257004509914 is 4199054007522.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1081764 + ... + 2384160.

It is an arithmetic number, because the mean of its divisors is an integer number (45761056128).

Almost surely, 2^{2257004509914} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2257004509914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2928707592192).

2257004509914 is an abundant number, since it is smaller than the sum of its proper divisors (3600410674470).

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

2257004509914 is a wasteful number, since it uses less digits than its factorization.

2257004509914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302473 (or 1302451 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 2257004509914 in words is "two trillion, two hundred fifty-seven billion, four million, five hundred nine thousand, nine hundred fourteen".