2254740086340 has 432 divisors, whose sum is σ = 8386244630400. Its totient is φ = 479018022912.

The previous prime is 2254740086327. The next prime is 2254740086351. The reversal of 2254740086340 is 436800474522.

It is a happy number.

2254740086340 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 7 + 4 + 0 + 0 + 8 + 634 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 67230696 + ... + 67264224.

Almost surely, 2^{2254740086340} is an apocalyptic number.

2254740086340 is a gapful number since it is divisible by the number (20) 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 2254740086340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4193122315200).

2254740086340 is an abundant number, since it is smaller than the sum of its proper divisors (6131504544060).

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

2254740086340 is a wasteful number, since it uses less digits than its factorization.

2254740086340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33676 (or 33618 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 2254740086340 in words is "two trillion, two hundred fifty-four billion, seven hundred forty million, eighty-six thousand, three hundred forty".