2251516120434 has 192 divisors, whose sum is σ = 5874166351872. Its totient is φ = 633033273600.

The previous prime is 2251516120351. The next prime is 2251516120457. The reversal of 2251516120434 is 4340216151522.

2251516120434 is a `hidden beast` number, since 2 + 2 + 5 + 1 + 5 + 1 + 612 + 0 + 4 + 34 = 666.

It is a super-3 number, since 3×2251516120434³ (a number of 38 digits) contains 333 as substring.

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, 132114954 + ... + 132131994.

It is an arithmetic number, because the mean of its divisors is an integer number (30594616416).

Almost surely, 2^{2251516120434} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2251516120434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937083175936).

2251516120434 is an abundant number, since it is smaller than the sum of its proper divisors (3622650231438).

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

2251516120434 is a wasteful number, since it uses less digits than its factorization.

2251516120434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17683 (or 17671 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 2251516120434 in words is "two trillion, two hundred fifty-one billion, five hundred sixteen million, one hundred twenty thousand, four hundred thirty-four".