2770916148 has 576 divisors, whose sum is σ = 10323210240. Its totient is φ = 620524800.

The previous prime is 2770916143. The next prime is 2770916171. The reversal of 2770916148 is 8416190772.

It is a happy number.

2770916148 is a `hidden beast` number, since 27 + 7 + 0 + 9 + 1 + 614 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2770916143) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39026953 + ... + 39027023.

It is an arithmetic number, because the mean of its divisors is an integer number (17922240).

Almost surely, 2^2770916148 is an apocalyptic number.

2770916148 is a gapful number since it is divisible by the number (28) 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 2770916148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5161605120).

2770916148 is an abundant number, since it is smaller than the sum of its proper divisors (7552294092).

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

2770916148 is a wasteful number, since it uses less digits than its factorization.

2770916148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 2770916148 is about 52639.4922847856. The cubic root of 2770916148 is about 1404.5626899367.

The spelling of 2770916148 in words is "two billion, seven hundred seventy million, nine hundred sixteen thousand, one hundred forty-eight".