2770764480 has 252 divisors, whose sum is σ = 10476744096. Its totient is φ = 671616000.

The previous prime is 2770764473. The next prime is 2770764481. The reversal of 2770764480 is 844670772.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2770764481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 344505 + ... + 352455.

Almost surely, 2^2770764480 is an apocalyptic number.

2770764480 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 2770764480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5238372048).

2770764480 is an abundant number, since it is smaller than the sum of its proper divisors (7705979616).

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

2770764480 is a wasteful number, since it uses less digits than its factorization.

2770764480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7996 (or 7972 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The square root of 2770764480 is about 52638.0516356751. The cubic root of 2770764480 is about 1404.5370629010.

The spelling of 2770764480 in words is "two billion, seven hundred seventy million, seven hundred sixty-four thousand, four hundred eighty".