2714149620 has 864 divisors, whose sum is σ = 11742651648. Its totient is φ = 510603264.

The previous prime is 2714149609. The next prime is 2714149621. The reversal of 2714149620 is 269414172.

It is a happy number.

2714149620 is a `hidden beast` number, since 2 + 7 + 14 + 14 + 9 + 620 = 666.

It is a super-2 number, since 2×2714149620² = 14733216319492288800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2714149621) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 142849971 + ... + 142849989.

It is an arithmetic number, because the mean of its divisors is an integer number (13591032).

Almost surely, 2^2714149620 is an apocalyptic number.

2714149620 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 2714149620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5871325824).

2714149620 is an abundant number, since it is smaller than the sum of its proper divisors (9028502028).

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

2714149620 is a wasteful number, since it uses less digits than its factorization.

2714149620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2714149620 is about 52097.5010917030. The cubic root of 2714149620 is about 1394.9048842537.

The spelling of 2714149620 in words is "two billion, seven hundred fourteen million, one hundred forty-nine thousand, six hundred twenty".