2799461952 has 224 divisors, whose sum is σ = 9460992000. Its totient is φ = 795142656.

The previous prime is 2799461939. The next prime is 2799461963. The reversal of 2799461952 is 2591649972.

2799461952 is a `hidden beast` number, since 2 + 7 + 99 + 461 + 95 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2406523 + ... + 2407685.

Almost surely, 2^2799461952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2799461952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4730496000).

2799461952 is an abundant number, since it is smaller than the sum of its proper divisors (6661530048).

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

2799461952 is a wasteful number, since it uses less digits than its factorization.

2799461952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 1374 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The square root of 2799461952 is about 52909.9419013100. The cubic root of 2799461952 is about 1409.3694600346.

The spelling of 2799461952 in words is "two billion, seven hundred ninety-nine million, four hundred sixty-one thousand, nine hundred fifty-two".