2782153948 has 60 divisors (see below), whose sum is σ = 5727126272. Its totient is φ = 1182444480.

The previous prime is 2782153937. The next prime is 2782153951. The reversal of 2782153948 is 8493512872.

2782153948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1218568 + ... + 1220848.

Almost surely, 2^2782153948 is an apocalyptic number.

2782153948 is a gapful number since it is divisible by the number (28) 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 2782153948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2863563136).

2782153948 is an abundant number, since it is smaller than the sum of its proper divisors (2944972324).

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

2782153948 is a wasteful number, since it uses less digits than its factorization.

2782153948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2440 (or 2417 counting only the distinct ones).

The product of its digits is 967680, while the sum is 49.

The square root of 2782153948 is about 52746.1273270370. The cubic root of 2782153948 is about 1406.4589224989.

The spelling of 2782153948 in words is "two billion, seven hundred eighty-two million, one hundred fifty-three thousand, nine hundred forty-eight".