2627620740 has 144 divisors (see below), whose sum is σ = 8442016128. Its totient is φ = 660160512.

The previous prime is 2627620739. The next prime is 2627620813. The reversal of 2627620740 is 470267262.

2627620740 is a `hidden beast` number, since 2 + 6 + 27 + 620 + 7 + 4 + 0 = 666.

2627620740 is digitally balanced in base 2 and base 4, because in such bases 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 = 2627620695 and 2627620704.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 272644 + ... + 282116.

It is an arithmetic number, because the mean of its divisors is an integer number (58625112).

Almost surely, 2^2627620740 is an apocalyptic number.

2627620740 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 2627620740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4221008064).

2627620740 is an abundant number, since it is smaller than the sum of its proper divisors (5814395388).

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

2627620740 is a wasteful number, since it uses less digits than its factorization.

2627620740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9578 (or 9573 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 2627620740 is about 51260.3232529800. The cubic root of 2627620740 is about 1379.9210099715.

The spelling of 2627620740 in words is "two billion, six hundred twenty-seven million, six hundred twenty thousand, seven hundred forty".