2254151531016 has 576 divisors, whose sum is σ = 8096699520000. Its totient is φ = 553031297280.

The previous prime is 2254151530993. The next prime is 2254151531029. The reversal of 2254151531016 is 6101351514522.

2254151531016 is a `hidden beast` number, since 2 + 2 + 541 + 5 + 1 + 5 + 3 + 101 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 415969155 + ... + 415974573.

It is an arithmetic number, because the mean of its divisors is an integer number (14056770000).

Almost surely, 2^{2254151531016} 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 2254151531016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4048349760000).

2254151531016 is an abundant number, since it is smaller than the sum of its proper divisors (5842547988984).

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

2254151531016 is a wasteful number, since it uses less digits than its factorization.

2254151531016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5838 (or 5820 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 2254151531016 in words is "two trillion, two hundred fifty-four billion, one hundred fifty-one million, five hundred thirty-one thousand, sixteen".