2145773376 has 224 divisors, whose sum is σ = 6677314560. Its totient is φ = 674611200.

The previous prime is 2145773363. The next prime is 2145773389. The reversal of 2145773376 is 6733775412.

2145773376 is a `hidden beast` number, since 2 + 1 + 4 + 577 + 3 + 3 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (2145773363) and next prime (2145773389).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2195800 + ... + 2196776.

It is an arithmetic number, because the mean of its divisors is an integer number (29809440).

Almost surely, 2^2145773376 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 2145773376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3338657280).

2145773376 is an abundant number, since it is smaller than the sum of its proper divisors (4531541184).

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

2145773376 is a wasteful number, since it uses less digits than its factorization.

2145773376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1054 counting only the distinct ones).

The product of its digits is 740880, while the sum is 45.

The square root of 2145773376 is about 46322.4931971499. The cubic root of 2145773376 is about 1289.8165666705.

The spelling of 2145773376 in words is "two billion, one hundred forty-five million, seven hundred seventy-three thousand, three hundred seventy-six".