2764125000 has 672 divisors, whose sum is σ = 11943597120. Its totient is φ = 583200000.

The previous prime is 2764124989. The next prime is 2764125019. The reversal of 2764125000 is 5214672.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 212624994 + ... + 212625006.

It is an arithmetic number, because the mean of its divisors is an integer number (17773210).

Almost surely, 2^2764125000 is an apocalyptic number.

2764125000 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 2764125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5971798560).

2764125000 is an abundant number, since it is smaller than the sum of its proper divisors (9179472120).

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

2764125000 is an frugal number, since it uses more digits than its factorization.

2764125000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2764125000 is about 52574.9465049657. The cubic root of 2764125000 is about 1403.4142856028.

Adding to 2764125000 its reverse (5214672), we get a palindrome (2769339672).

The spelling of 2764125000 in words is "two billion, seven hundred sixty-four million, one hundred twenty-five thousand".