2732946480 has 400 divisors, whose sum is σ = 10811522304. Its totient is φ = 633346560.

The previous prime is 2732946473. The next prime is 2732946487. The reversal of 2732946480 is 846492372.

It is an interprime number because it is at equal distance from previous prime (2732946473) and next prime (2732946487).

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

It is not an unprimeable number, because it can be changed into a prime (2732946487) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1638607 + ... + 1640273.

Almost surely, 2^2732946480 is an apocalyptic number.

2732946480 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 2732946480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5405761152).

2732946480 is an abundant number, since it is smaller than the sum of its proper divisors (8078575824).

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

2732946480 is a wasteful number, since it uses less digits than its factorization.

2732946480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 2732946480 is about 52277.5906101266. The cubic root of 2732946480 is about 1398.1176198263.

The spelling of 2732946480 in words is "two billion, seven hundred thirty-two million, nine hundred forty-six thousand, four hundred eighty".