2872920960 has 1152 divisors, whose sum is σ = 13332664800. Its totient is φ = 585252864.

The previous prime is 2872920943. The next prime is 2872920977. The reversal of 2872920960 is 690292782.

It is an interprime number because it is at equal distance from previous prime (2872920943) and next prime (2872920977).

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 99066226 + ... + 99066254.

Almost surely, 2^2872920960 is an apocalyptic number.

2872920960 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 2872920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6666332400).

2872920960 is an abundant number, since it is smaller than the sum of its proper divisors (10459743840).

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

2872920960 is a wasteful number, since it uses less digits than its factorization.

2872920960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 2872920960 is about 53599.6358196583. The cubic root of 2872920960 is about 1421.5906528835.

The spelling of 2872920960 in words is "two billion, eight hundred seventy-two million, nine hundred twenty thousand, nine hundred sixty".