2613427740 has 720 divisors, whose sum is σ = 10803681504. Its totient is φ = 522547200.

The previous prime is 2613427703. The next prime is 2613427753. The reversal of 2613427740 is 477243162.

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 = 2613427695 and 2613427704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 35800344 + ... + 35800416.

Almost surely, 2^2613427740 is an apocalyptic number.

2613427740 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 2613427740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5401840752).

2613427740 is an abundant number, since it is smaller than the sum of its proper divisors (8190253764).

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

2613427740 is a wasteful number, since it uses less digits than its factorization.

2613427740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 142 counting only the distinct ones).

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

The square root of 2613427740 is about 51121.6953944213. The cubic root of 2613427740 is about 1377.4319917061.

The spelling of 2613427740 in words is "two billion, six hundred thirteen million, four hundred twenty-seven thousand, seven hundred forty".