2894167440 has 240 divisors, whose sum is σ = 10122018816. Its totient is φ = 740275200.

The previous prime is 2894167427. The next prime is 2894167469. The reversal of 2894167440 is 447614982.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2834130 + ... + 2835150.

Almost surely, 2^2894167440 is an apocalyptic number.

2894167440 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 2894167440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5061009408).

2894167440 is an abundant number, since it is smaller than the sum of its proper divisors (7227851376).

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

2894167440 is a wasteful number, since it uses less digits than its factorization.

2894167440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 2894167440 is about 53797.4668548622. The cubic root of 2894167440 is about 1425.0864730535.

The spelling of 2894167440 in words is "two billion, eight hundred ninety-four million, one hundred sixty-seven thousand, four hundred forty".