2274516644400 has 2880 divisors, whose sum is σ = 11149759036416. Its totient is φ = 429981696000.

The previous prime is 2274516644341. The next prime is 2274516644459. The reversal of 2274516644400 is 44466154722.

It is a happy number.

2274516644400 is a `hidden beast` number, since 2 + 2 + 7 + 45 + 166 + 4 + 440 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2274516644341) and next prime (2274516644459).

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 575 ways as a sum of consecutive naturals, for example, 9437828280 + ... + 9437828520.

Almost surely, 2^{2274516644400} is an apocalyptic number.

2274516644400 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 2274516644400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5574879518208).

2274516644400 is an abundant number, since it is smaller than the sum of its proper divisors (8875242392016).

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

2274516644400 is a wasteful number, since it uses less digits than its factorization.

2274516644400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 379 counting only the distinct ones).

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

The spelling of 2274516644400 in words is "two trillion, two hundred seventy-four billion, five hundred sixteen million, six hundred forty-four thousand, four hundred".