2920133280 has 48 divisors (see below), whose sum is σ = 9198421344. Its totient is φ = 778702080.

The previous prime is 2920133263. The next prime is 2920133297. The reversal of 2920133280 is 823310292.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2920133263) and next prime (2920133297).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×2920133280³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3041326 + ... + 3042285.

It is an arithmetic number, because the mean of its divisors is an integer number (191633778).

Almost surely, 2^2920133280 is an apocalyptic number.

2920133280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2920133280 is an abundant number, since it is smaller than the sum of its proper divisors (6278288064).

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

2920133280 is a wasteful number, since it uses less digits than its factorization.

2920133280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6083629 (or 6083621 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 2920133280 is about 54038.2575588814. The cubic root of 2920133280 is about 1429.3356458884.

It can be divided in two parts, 29201 and 33280, that added together give a triangular number (62481 = T₃₅₃).

The spelling of 2920133280 in words is "two billion, nine hundred twenty million, one hundred thirty-three thousand, two hundred eighty".