2781375552 has 168 divisors, whose sum is σ = 8387608320. Its totient is φ = 879989760.

The previous prime is 2781375551. The next prime is 2781375557. The reversal of 2781375552 is 2555731872.

2781375552 is a `hidden beast` number, since 27 + 8 + 1 + 3 + 75 + 552 = 666.

It is a super-2 number, since 2×2781375552² = 15472099922526609408, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2781375498 and 2781375507.

It is not an unprimeable number, because it can be changed into a prime (2781375551) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 944899 + ... + 947837.

It is an arithmetic number, because the mean of its divisors is an integer number (49926240).

Almost surely, 2^2781375552 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 2781375552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4193804160).

2781375552 is an abundant number, since it is smaller than the sum of its proper divisors (5606232768).

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

2781375552 is a wasteful number, since it uses less digits than its factorization.

2781375552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3041 (or 3028 counting only the distinct ones).

The product of its digits is 588000, while the sum is 45.

The square root of 2781375552 is about 52738.7481080088. The cubic root of 2781375552 is about 1406.3277430679.

The spelling of 2781375552 in words is "two billion, seven hundred eighty-one million, three hundred seventy-five thousand, five hundred fifty-two".