2878267392 has 672 divisors, whose sum is σ = 11512661760. Its totient is φ = 690094080.

The previous prime is 2878267391. The next prime is 2878267463. The reversal of 2878267392 is 2937628782.

It is a tau number, because it is divible by the number of its divisors (672).

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

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

Its product of digits (4064256) is a multiple of the sum of its prime divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2878267391) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221405178 + ... + 221405190.

Almost surely, 2^2878267392 is an apocalyptic number.

2878267392 is a gapful number since it is divisible by the number (22) 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 2878267392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5756330880).

2878267392 is an abundant number, since it is smaller than the sum of its proper divisors (8634394368).

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

2878267392 is a wasteful number, since it uses less digits than its factorization.

2878267392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 36 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 2878267392 is about 53649.4864094709. The cubic root of 2878267392 is about 1422.4719542944.

The spelling of 2878267392 in words is "two billion, eight hundred seventy-eight million, two hundred sixty-seven thousand, three hundred ninety-two".