2774520000 has 560 divisors, whose sum is σ = 11680261120. Its totient is φ = 632448000.

The previous prime is 2774519983. The next prime is 2774520013. The reversal of 2774520000 is 254772.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×2774520000² = 15395922460800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7559817 + ... + 7560183.

Almost surely, 2^2774520000 is an apocalyptic number.

2774520000 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 2774520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5840130560).

2774520000 is an abundant number, since it is smaller than the sum of its proper divisors (8905741120).

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

2774520000 is an equidigital number, since it uses as much as digits as its factorization.

2774520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 2774520000 is about 52673.7126088526. The cubic root of 2774520000 is about 1405.1713506226.

Adding to 2774520000 its reverse (254772), we get a palindrome (2774774772).

The spelling of 2774520000 in words is "two billion, seven hundred seventy-four million, five hundred twenty thousand".