2964149136 has 135 divisors (see below), whose sum is σ = 9008514099. Its totient is φ = 909432576.

The previous prime is 2964149129. The next prime is 2964149137. The reversal of 2964149136 is 6319414692.

The square root of 2964149136 is 54444.

It is a perfect power (a square), and thus also a powerful number.

2964149136 is a `hidden beast` number, since 2 + 96 + 41 + 491 + 36 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 63680400 + 2900468736 = 7980^2 + 53856^2 .

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2964149091 and 2964149100.

It is not an unprimeable number, because it can be changed into a prime (2964149137) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8493090 + ... + 8493438.

Almost surely, 2^2964149136 is an apocalyptic number.

2964149136 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2964149136 is the 54444-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2964149136

2964149136 is an abundant number, since it is smaller than the sum of its proper divisors (6044364963).

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

2964149136 is a wasteful number, since it uses less digits than its factorization.

2964149136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 367 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The cubic root of 2964149136 is about 1436.4814327091.

It can be divided in two parts, 2964 and 149136, that added together give a square (152100 = 390²).

The spelling of 2964149136 in words is "two billion, nine hundred sixty-four million, one hundred forty-nine thousand, one hundred thirty-six".