2956149000 has 256 divisors, whose sum is σ = 11712729600. Its totient is φ = 675648000.

The previous prime is 2956148903. The next prime is 2956149047. The reversal of 2956149000 is 9416592.

2956149000 is a `hidden beast` number, since 2 + 9 + 561 + 4 + 90 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 181180 + ... + 196820.

It is an arithmetic number, because the mean of its divisors is an integer number (45752850).

Almost surely, 2^2956149000 is an apocalyptic number.

2956149000 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 2956149000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5856364800).

2956149000 is an abundant number, since it is smaller than the sum of its proper divisors (8756580600).

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

2956149000 is a wasteful number, since it uses less digits than its factorization.

2956149000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15678 (or 15658 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 2956149000 is about 54370.4791224061. The cubic root of 2956149000 is about 1435.1879304026.

The spelling of 2956149000 in words is "two billion, nine hundred fifty-six million, one hundred forty-nine thousand".