2762672640 has 640 divisors, whose sum is σ = 11219281920. Its totient is φ = 564461568.

The previous prime is 2762672629. The next prime is 2762672651. The reversal of 2762672640 is 462762672.

It is an interprime number because it is at equal distance from previous prime (2762672629) and next prime (2762672651).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2762672592 and 2762672601.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41233887 + ... + 41233953.

It is an arithmetic number, because the mean of its divisors is an integer number (17530128).

Almost surely, 2^2762672640 is an apocalyptic number.

2762672640 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 2762672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5609640960).

2762672640 is an abundant number, since it is smaller than the sum of its proper divisors (8456609280).

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

2762672640 is a wasteful number, since it uses less digits than its factorization.

2762672640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The square root of 2762672640 is about 52561.1324078924. The cubic root of 2762672640 is about 1403.1684429021.

The spelling of 2762672640 in words is "two billion, seven hundred sixty-two million, six hundred seventy-two thousand, six hundred forty".