2930753280 has 288 divisors, whose sum is σ = 11521488384. Its totient is φ = 618283008.

The previous prime is 2930753269. The next prime is 2930753281. The reversal of 2930753280 is 823570392.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2930753281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 345247 + ... + 353633.

It is an arithmetic number, because the mean of its divisors is an integer number (40005168).

Almost surely, 2^2930753280 is an apocalyptic number.

2930753280 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 2930753280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5760744192).

2930753280 is an abundant number, since it is smaller than the sum of its proper divisors (8590735104).

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

2930753280 is a wasteful number, since it uses less digits than its factorization.

2930753280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8431 (or 8417 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 2930753280 is about 54136.4320952166. The cubic root of 2930753280 is about 1431.0662951929.

The spelling of 2930753280 in words is "two billion, nine hundred thirty million, seven hundred fifty-three thousand, two hundred eighty".