2770537728 has 144 divisors (see below), whose sum is σ = 8468504576. Its totient is φ = 787691520.

The previous prime is 2770537723. The next prime is 2770537739. The reversal of 2770537728 is 8277350772.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2770537723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1197693 + ... + 1200003.

Almost surely, 2^2770537728 is an apocalyptic number.

2770537728 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 2770537728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4234252288).

2770537728 is an abundant number, since it is smaller than the sum of its proper divisors (5697966848).

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

2770537728 is a wasteful number, since it uses less digits than its factorization.

2770537728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2560 (or 2546 counting only the distinct ones).

The product of its (nonzero) digits is 1152480, while the sum is 48.

The square root of 2770537728 is about 52635.8977124928. The cubic root of 2770537728 is about 1404.4987473292.

The spelling of 2770537728 in words is "two billion, seven hundred seventy million, five hundred thirty-seven thousand, seven hundred twenty-eight".