2721950640 has 480 divisors, whose sum is σ = 10334338560. Its totient is φ = 638668800.

The previous prime is 2721950633. The next prime is 2721950669. The reversal of 2721950640 is 460591272.

2721950640 is a `hidden beast` number, since 2 + 7 + 2 + 1 + 9 + 5 + 0 + 640 = 666.

2721950640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2721950595 and 2721950604.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12900135 + ... + 12900345.

It is an arithmetic number, because the mean of its divisors is an integer number (21529872).

Almost surely, 2^2721950640 is an apocalyptic number.

2721950640 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 2721950640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5167169280).

2721950640 is an abundant number, since it is smaller than the sum of its proper divisors (7612387920).

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

2721950640 is a wasteful number, since it uses less digits than its factorization.

2721950640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2721950640 is about 52172.3167973208. The cubic root of 2721950640 is about 1396.2400197039.

The spelling of 2721950640 in words is "two billion, seven hundred twenty-one million, nine hundred fifty thousand, six hundred forty".